Relevant bibliographies by topics / High Resolution Shock Capturing

Academic literature on the topic 'High Resolution Shock Capturing'

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Published: 14 March 2023

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Journal articles on the topic "High Resolution Shock Capturing"

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Lu, Hongqiang, and Qiang Sun. "A Straightforward hp-Adaptivity Strategy for Shock-Capturing with High-Order Discontinuous Galerkin Methods." Advances in Applied Mathematics and Mechanics 6, no. 01 (February 2014): 135–44. http://dx.doi.org/10.4208/aamm.2013.m-s1.

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AbstractIn this paper, high-order Discontinuous Galerkin (DG) method is used to solve the two-dimensional Euler equations. A shock-capturing method based on the artificial viscosity technique is employed to handle physical discontinuities. Numerical tests show that the shocks can be captured within one element even on very coarse grids. The thickness of the shocks is dominated by the local mesh size and the local order of the basis functions. In order to obtain better shock resolution, a straightforwardhp-adaptivity strategy is introduced, which is based on the high-order contribution calculated using hierarchical basis. Numerical results indicate that thehp-adaptivity method is easy to implement and better shock resolution can be obtained with smaller local mesh size and higher local order.
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Yee, H. C. "Explicit and Implicit Multidimensional Compact High-Resolution Shock-Capturing Methods:Formulation." Journal of Computational Physics 131, no. 1 (February 1997): 216–32. http://dx.doi.org/10.1006/jcph.1996.5608.

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Guo, Jia, Huajun Zhu, Zhen-Guo Yan, Lingyan Tang, and Songhe Song. "High-Order Hybrid WCNS-CPR Scheme for Shock Capturing of Conservation Laws." International Journal of Aerospace Engineering 2020 (October 14, 2020): 1–13. http://dx.doi.org/10.1155/2020/8825445.

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By introducing hybrid technique into high-order CPR (correction procedure via reconstruction) scheme, a novel hybrid WCNS-CPR scheme is developed for efficient supersonic simulations. Firstly, a shock detector based on nonlinear weights is used to identify grid cells with high gradients or discontinuities throughout the whole flow field. Then, WCNS (weighted compact nonlinear scheme) is adopted to capture shocks in these areas, while the smooth area is calculated by CPR. A strategy to treat the interfaces of the two schemes is developed, which maintains high-order accuracy. Convergent order of accuracy and shock-capturing ability are tested in several numerical experiments; the results of which show that this hybrid scheme achieves expected high-order accuracy and high resolution, is robust in shock capturing, and has less computational cost compared to the WCNS.
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Ekaterinaris, John A. "Aeroacoustic Predictions Using High-Order Shock-Capturing Schemes." International Journal of Aeroacoustics 2, no. 2 (April 2003): 175–92. http://dx.doi.org/10.1260/147547203322775524.

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High-order accurate, finite-difference methods, such as the compact centered schemes with spectral-type or characteristic-based filters and the weighted essentially non-oscillatory (WENO) schemes, which are used in high resolution CFD solutions and for DNS or LES of compressible turbulence, are applied to aeroacoustics. Implicit and explicit schemes are used for time marching. The accuracy of the numerical solutions is evaluated for test problems. It is found that these methods are appropriate for sound propagation in complex flows that require use of curvilinear coordinates. Therefore they are applicable for the prediction of sound generation from both smooth subsonic flows, and transonic or supersonic flows with discontinuities.
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Yee, H. C., G. H. Klopfer, and J. L. Montagné. "High-resolution shock-capturing schemes for inviscid and viscous hypersonic flows." Journal of Computational Physics 88, no. 1 (May 1990): 31–61. http://dx.doi.org/10.1016/0021-9991(90)90241-r.

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Neelan, Arun Govind, and Manoj T. Nair. "Discontinuity Preserving Scheme." International Journal of Mathematical, Engineering and Management Sciences 5, no. 4 (August 1, 2020): 631–42. http://dx.doi.org/10.33889/ijmems.2020.5.4.051.

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Non-linear schemes are widely used in high-speed flows to capture the discontinuities present in the solution. Limiters and weighted essentially non-oscillatory schemes (WENO) are the most common non-linear numerical schemes. Most of the high-resolution schemes use the piecewise parabolic reconstruction (PPR) technique for their robustness. However, it may be impossible to achieve non-oscillatory and dissipation-free solutions with the PPR technique without non-linear switches. Most of the shock-capturing schemes use excessive dissipation to suppress the oscillations present in the discontinuities. To eliminate these issues, an algorithm is proposed that uses the shock-capturing scheme (SCS) in the first step, and then the result is refined using a novel scheme called the Discontinuity Preserving Scheme (DPS). The present scheme is a hybrid shock capture-fitting scheme. The present scheme has outperformed other schemes considered in this work, in terms of shock resolution in linear and non-linear test cases. The most significant advantage of the present scheme is that it can resolve shocks with three grid points.
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Patel, Sumit Kumar, and Joseph Mathew. "Shock Capturing in Large Eddy Simulations by Adaptive Filtering." Fluids 4, no. 3 (July 15, 2019): 132. http://dx.doi.org/10.3390/fluids4030132.

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A method for shock capturing by adaptive filtering for use with high-resolution, high-order schemes for Large Eddy Simulations (LES) is presented. The LES method used in all the examples here employs the Explicit Filtering approach and the spatial derivatives are obtained with sixth-order, compact, finite differences. The adaptation is to drop the order of the explicit filter to two at gridpoints where a shock is detected, and to then increase the order from 2 to 10 in steps at successive gridpoints away from the shock. The method is found to be effective in a series of tests of common inviscid 1D and 2D problems of shock propagation and propagation of waves through shocks. As a prelude to LES, the 3D Taylor–Green problem for the inviscid and a finite viscosity case were simulated. An assessment of the overall performance of the method for LES was carried out by simulating an underexpanded round jet at a Reynolds number of 6.09 million, based in centerline velocity and diameter at nozzle exit plane. Very close quantitative agreement was found for the development of centerline mean pressure when compared to experiment. Simulations on several increasingly finer grids showed a monotonic extension of the computed part of the inertial range, with little change to low frequency content. Amplitudes and locations of large changes in pressure through several cells were captured accurately. A similar performance was observed for LES of an impinging jet containing normal and curved shocks.
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Montagne, J. L., H. C. Yee, and M. Vinokur. "Comparative study of high-resolution shock-capturing schemes for a real gas." AIAA Journal 27, no. 10 (October 1989): 1332–46. http://dx.doi.org/10.2514/3.10269.

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Kumar, Ritesh, and M. K. Kadalbajoo. "A class of high resolution shock capturing schemes for hyperbolic conservation laws." Applied Mathematics and Computation 195, no. 1 (January 2008): 110–26. http://dx.doi.org/10.1016/j.amc.2007.04.090.

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Wang, Wei, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, and Björn Sjögreen. "High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing." Communications in Computational Physics 17, no. 2 (January 22, 2015): 317–36. http://dx.doi.org/10.4208/cicp.250214.130814a.

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AbstractIn this paper, we extend the high order finite-difference method with subcell resolution (SR) in [34] for two-species stiff one-reaction models to multispecies and multireaction inviscid chemical reactive flows, which are significantly more difficult because of the multiple scales generated by different reactions. For reaction problems, when the reaction time scale is very small, the reaction zone scale is also small and the governing equations become very stiff. Wrong propagation speed of discontinuity may occur due to the underresolved numerical solution in both space and time. The present SR method for reactive Euler system is a fractional step method. In the convection step, any high order shock-capturing method can be used. In the reaction step, an ODE solver is applied but with certain computed flow variables in the shock region modified by the Harten subcell resolution idea. Several numerical examples of multispecies and multireaction reactive flows are performed in both one and two dimensions. Studies demonstrate that the SR method can capture the correct propagation speed of discontinuities in very coarse meshes.
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Dissertations / Theses on the topic "High Resolution Shock Capturing"

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Khan, Fayaz A. "Two-dimensional shock capturing numerical simulation of shallow water flow applied to dam break analysis." Thesis, Loughborough University, 2010. https://dspace.lboro.ac.uk/2134/7750.

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With the advances in the computing world, computational fluid dynamics (CFD) is becoming more and more critical tool in the field of fluid dynamics. In the past few decades, a huge number of CFD models have been developed with ever improved performance. In this research a robust CFD model, called Riemann2D, is extended to model flow over a mobile bed and applied to a full scale dam break problem. Riemann2D, an object oriented hyperbolic solver that solves shallow water equations with an unstructured triangular mesh and using high resolution shock capturing methods, provides a generic framework for the solution of hyperbolic problems. The object-oriented design of Riemann2D has the flexibility to apply the model to any type of hyperbolic problem with the addition of new information and inheriting the common components from the generic part of the model. In a part of this work, this feature of Riemann2D is exploited to enhance the model capabilities to compute flow over mobile beds. This is achieved by incorporating the two dimensional version of the one dimensional non-capacity model for erodible bed hydraulics by Cao et al. (2004). A few novel and simple algorithms are included, to track the wet/dry and dry/wet fronts over abruptly varying topography and stabilize the solution while using high resolution shock capturing methods. The negative depths computed from the surface gradient by the limiters are algebraically adjusted to ensure depth positivity. The friction term contribution in the source term, that creates unphysical values near the wet/dry fronts, are resolved by the introduction of a limiting value for the friction term. The model is validated using an extensive variety of tests both on fixed and mobile beds. The results are compared with the analytical, numerical and experimental results available in the literature. The model is also tested against the actual field data of 1957 Malpasset dam break. Finally, the model is applied to simulate dam break flow of Warsak Dam in Pakistan. Remotely sensed topographic data of Warsak dam is used to improve the accuracy of the solution. The study reveals from the thorough testing and application of the model that the simulated results are in close agreement with the available analytical, numerical and experimental results. The high resolution shock capturing methods give far better results than the traditional numerical schemes. It is also concluded that the object oriented CFD model is very easy to adapt and extend without changing the generic part of the model.
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Canestrelli, Alberto. "Numerical Modelling of Alluvial Rivers by Shock Capturing Methods." Doctoral thesis, Università degli studi di Padova, 2009. http://hdl.handle.net/11577/3421764.

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The problem of modelling both the unsteady hydrodynamics and the bed morphological variations in natural channels is generally performed by solving the De Saint Venant balance equations for the liquid phase together with the Exner continuity equation for the sediments carried as bed-load. This thesis focuses on the development of an high-order accurate centred scheme of the finite volume type for the numerical solution of the coupled De Saint Venant-Exner system. A new scheme, called PRICE-C, is proposed. It solves the system of equations in a non-conservative form, however it has the important characteristic of reducing automatically to a conservative scheme if the underlying PDE system is a conservation law. It is applied to the shallow water equations in the presence of either a fix or a movable bed. The scheme is first introduced in a one-dimensional framework, and it is then extended to the two-dimensional case. The extension is not straightforward in the case of an unstructured mesh, since averages over suitable edge-based control volumes have to be performed. The scheme is extended to high order of accuracy in space and time via the ADER-WENO and MUSCL technique respectively for the one- and twodimensional case. The well-balanced property of the scheme is proven, i.e. the ability to reach steady states also in the presence of discontinuous water surface or discontinuous bottom profile. The scheme can deal with subcritical and supercritical flows, as well as transcritical situations. Moreover the proposed approach leads to a correct estimate of the celerity of surface discontinuities as well sediment bores and small bottom perturbations. The main characteristic of the scheme is its simplicity: it is based on a simple centred approach, that means that the knowledge of the eigenvalues of the matrix of the system is not required. This is important since the interaction between sediment transport and water flow not always admits detailed knowledge of the eigenstructure. Hence this scheme can be useful to engineers since they need simple numerical tools that can be easily used without entering in the mathematical detail of the differential hyperbolic system under consideration. Moreover the centred strategy gives generality to the scheme: in fact, it can be applied without modification to any kind of hyperbolic equations with non-conservative terms.
La modellazione dell’idrodinamica e delle variazioni orfologiche in canali naturali `e generalmente effettuata risolvendo numericamente le equazioni delle onde lunghe in acque basse, che regolano il moto della fase fluida, assieme all’equazione di Exner, che descrive l’evoluzione del fondo. L’argomento della presente tesi consiste nello sviluppo di un schema ai volumi finiti di tipo ”centrato” per la soluzione accoppiata di tale sistema di equazioni. Un nuovo schema, denominato PRICE-C, `e qui introdotto: esso risolve le equazioni in forma conconservativa, ma ha l’importante propriet`a di degenerare in uno schema conservativo se il sottostante sistema di equazioni ammette una forma conservativa. Lo schema `e applicato alle equazioni delle onde lunghe in acque basse sia nel caso di fondo fisso che di fondo mobile, dapprima in un ambito unidimensionale e successivamente in quello bidimensionale. L’estensione non `e immediata nel caso in cui il reticolo di calcolo sia non-strutturato, dal momento che le equazioni differenziali devono essere mediate su opportuni volumi di controllo. Lo schema `e poi esteso ad alti ordini di accuratezza nello spazio e nel tempo attraverso le procedure ADER-WENO e MUSCL rispettivamente per il caso unidimensionale e bidimensionale. Inoltre si dimostra come lo schema proposto verifichi la ”well-balanced property”, che consiste nella capacit`a di raggiungere soluzioni stazionarie, anche in presenza di discontinuit`a della superficie libera e del fondo. Condizioni di corrente lenta e rapida, come pure condizioni di tipo transcritico vengono correttamente risolte. Inoltre lo schema in grado di riprodurre le celerit`a di propagazione di discontinuit`a della superficie e fronti di sedimenti al fondo, cos`? come la celerit`a di propagazione di piccoli disturbi del fondo. Caratteristica principale dello schema `e la sua semplicit`a: `e basato su un semplice approccio di tipo centrato, cio`e non necessita la conoscenza degli autovalori della matrice del sistema. Questa `e un’importante caratteristica dal momento che non sempre autovalori e autovettori sono calcolabili analiticamente, in particolare nel caso di complesse formule di chiusura per il trasporto al fondo. Quindi questo schema pu`o rivelarsi utile per l’ingegnere che spesso necessita di un semplice strumento numerico che possa essere applicato ad un sistema di equazioni differenziali di tipo iperbolico senza dover entrare nel dettaglio delle propriet`a atematiche del sistema stesso. Data la sua generalit`a, infatti, lo schema pu`o essere applicato ad ogni tipo di sistema iperbolico contenente termini non-conservativi.
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Geisenhofer, Markus [Verfasser], Martin [Akademischer Betreuer] Oberlack, and Michael [Akademischer Betreuer] Schäfer. "From Shock-Capturing to High-Order Shock-Fitting Using an Unfitted Discontinuous Galerkin Method / Markus Geisenhofer ; Martin Oberlack, Michael Schäfer." Darmstadt : Universitäts- und Landesbibliothek, 2021. http://d-nb.info/1227582277/34.

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Chen, Chunfang. "HIGH ORDER SHOCK CAPTURING SCHEMES FOR HYPERBOLIC CONSERVATION LAWS AND THE APPLICATION IN OPEN CHANNEL FLOWS." UKnowledge, 2006. http://uknowledge.uky.edu/gradschool_diss/314.

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Many applications in engineering practice can be described by thehyperbolic partial differential equations (PDEs). Numerical modeling of this typeof equations often involves large gradients or shocks, which makes it achallenging task for conventional numerical methods to accurately simulate suchsystems. Thus developing accurate and efficient shock capturing numericalschemes becomes important for the study of hyperbolic equations.In this dissertation, a detailed study of the numerical methods for linearand nonlinear unsteady hyperbolic equations was carried out. A new finitedifference shock capturing scheme of finite volume style was developed. Thisscheme is based on the high order Pad?? type compact central finite differencemethod with the weighted essentially non-oscillatory (WENO) reconstruction toeliminate non-physical oscillations near the discontinuities while maintain stablesolution in the smooth areas. The unconditionally stable semi-implicit Crank-Nicolson (CN) scheme is used for time integration.The theoretical development was conducted based on one-dimensionalhomogeneous scalar equation and system equations. Discussions were alsoextended to include source terms and to deal with problems of higher dimension.For the treatment of source terms, Strang splitting was used. For multidimensionalequations, the ?? -form Douglas-Gunn alternating direction implicit(ADI) method was employed. To compare the performance of the scheme withENO type interpolation, the current numerical framework was also applied usingENO reconstruction.The numerical schemes were tested on 1-D and 2-D benchmark problems,as well as published experimental results. The simulated results show thecapability of the proposed scheme to resolve discontinuities while maintainingaccuracy in smooth regions. Comparisons with the experimental results validatethe method for dam break problems. It is concluded that the proposed scheme isa useful tool for solving hyperbolic equations in general, and from engineeringapplication perspective it provides a new way of modeling open channel flows.
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Groom, Michael Robert. "Direct Numerical Simulation of Shock-Induced Turbulent Mixing with High-Resolution Methods." Thesis, University of Sydney, 2020. https://hdl.handle.net/2123/23721.

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Turbulent mixing evolving from the Richtmyer-Meshkov instability, also known as shock-induced turbulent mixing, is investigated using numerical simulations of fundamental test problems with high-resolution computational methods. An existing state-of-the-art implicit large eddy simulation algorithm for compressible multispecies flows is extended to include the effects of viscous dissipation, thermal conductivity and species diffusion by deriving a novel set of governing equations for binary mixtures. This allows for direct numerical simulations of shock-induced turbulent mixing to be performed for arbitrary gas mixtures cases where the ratio of specific heats may vary with mixture composition at much greater computational efficiency. Using direct numerical simulation, a detailed study is performed of the effects of Reynolds number on the transition to turbulence in shock-induced mixing evolving from narrowband initial conditions. Even though the turbulence in the highest Reynolds number case is not fully developed, a careful analysis shows that the high Reynolds number limit of several key quantities is able to be estimated from the present data. The mixing layer is also shown to be persistently anisotropic at all Reynolds numbers, which also has important consequences for modelling. At the time of writing, the highest Reynolds number case from this set of simulations is the highest achieved in any fully-resolved direct numerical simulations presented in the open literature for this class of problems. Implicit large eddy simulation is employed to investigate the influence of broadband initial conditions on the late-time evolution of a shock-induced turbulent mixing layer. Both the bandwidth of initial modes as well as their relative amplitudes are varied, showing that both the growth rate of the mixing layer width and the decay rate of fluctuating kinetic energy strongly depend on initial conditions. Finally, both implicit large eddy simulations and direct numerical simulations are performed of an idealised shock tube experiment to analyse the effects of additional long wavelength, low amplitude modes in the initial perturbation. These calculations represent the first direct numerical simulations performed of Richtmyer-Meshkov instability evolving from broadband initial conditions.
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Serna, Salichs Susana. "High order accurate shock capturing schemes for hyperbolic conservation laws based on a new class of limiters." Doctoral thesis, Universitat de València, 2005. http://hdl.handle.net/10803/10011.

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Borokhovych, Yevgen [Verfasser], and Rolf [Akademischer Betreuer] Kraemer. "High-speed data capturing components for Super Resolution Maximum Length Binary Sequence UWB Radar / Yevgen Borokhovych. Betreuer: Rolf Kraemer." Cottbus : Universitätsbibliothek der BTU Cottbus, 2012. http://d-nb.info/1023040662/34.

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Shelton, Andrew Brian. "A multi-resolution discontinuous galerkin method for unsteady compressible flows." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/24715.

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Thesis (Ph.D.)--Aerospace Engineering, Georgia Institute of Technology, 2009.
Committee Chair: Smith, Marilyn; Committee Co-Chair: Zhou, Hao-Min; Committee Member: Dieci, Luca; Committee Member: Menon, Suresh; Committee Member: Ruffin, Stephen
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Villedieu, Nadège A. C. "High order discretisation by residual distribution schemes." Doctoral thesis, Universite Libre de Bruxelles, 2009. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210233.

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These thesis review some recent results on the construction of very high order multidimensional upwind schemes for the solution of steady and unsteady conservation laws on unstructured triangular grids.

We also consider the extension to the approximation of solutions to conservation laws containing second order dissipative terms. To build this high order schemes we use a subtriangulation of the triangular Pk elements where we apply the distribution used for a P1 element.

This manuscript is divided in two parts. The first part is dedicated to the design of the high order schemes for scalar equations and focus more on the theoretical design of the schemes. The second part deals with the extension to system of equations, in particular we will compare the performances of 2nd, 3rd and 4th order schemes.

The first part is subdivided in four chapters:

The aim of the second chapter is to present the multidimensional upwind residual distributive schemes and to explain what was the status of their development at the beginning of this work.

The third chapter is dedicated to the first contribution: the design of 3rd and 4th order quasi non-oscillatory schemes.

The fourth chapter is composed of two parts: we start by understanding the non-uniformity of the accuracy of the 2nd order schemes for advection-diffusion problem. To solve this issue we use a Finite Element hybridisation.

This deep study of the 2nd order scheme is used as a basis to design a 3rd order scheme for advection-diffusion.

Finally, in the fifth chapter we extend the high order quasi non-oscillatory schemes to unsteady problems.

In the second part, we extend the schemes of the first part to systems of equations as follows:

The sixth chapter deals with the extension to steady systems of hyperbolic equations. In particular, we discuss how to solve some issues such as boundary conditions and the discretisation of curved geometries.

Then, we look at the performance of 2nd and 3rd order schemes on viscous flow.

Finally, we test the space-time schemes on several test cases. In particular, we will test the monotonicity of the space-time non-oscillatory schemes and we apply residual distributive schemes to acoustic problems.
Doctorat en Sciences de l'ingénieur
info:eu-repo/semantics/nonPublished

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Gokpi, Kossivi. "Modélisation et Simulation des Ecoulements Compressibles par la Méthode des Eléments Finis Galerkin Discontinus." Thesis, Pau, 2013. http://www.theses.fr/2013PAUU3005/document.

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L’objectif de ce travail de thèse est de proposer la Méthodes des éléments finis de Galerkin discontinus (DGFEM) à la discrétisation des équations compressibles de Navier-Stokes. Plusieurs challenges font l’objet de ce travail. Le premier aspect a consisté à montrer l’ordre de convergence optimal de la méthode DGFEM en utilisant les polynômes d’interpolation d’ordre élevé. Le deuxième aspect concerne l’implémentation de méthodes de ‘‘shock-catpuring’’ comme les limiteurs de pentes et les méthodes de viscosité artificielle pour supprimer les oscillations numériques engendrées par l’ordre élevé (lorsque des polynômes d’interpolation de degré p>0 sont utilisés) dans les écoulements transsoniques et supersoniques. Ensuite nous avons implémenté des estimateurs d’erreur a posteriori et des procédures d ’adaptation de maillages qui permettent d’augmenter la précision de la solution et la vitesse de convergence afin d’obtenir un gain de temps considérable. Finalement, nous avons montré la capacité de la méthode DG à donner des résultats corrects à faibles nombres de Mach. Lorsque le nombre de Mach est petit pour les écoulements compressibles à la limite de l’incompressible, la solution souffre généralement de convergence et de précision. Pour pallier ce problème généralement on procède au préconditionnement qui modifie les équations d’Euler. Dans notre cas, les équations ne sont pas modifiées. Dans ce travail, nous montrons la précision et la robustesse de méthode DG proposée avec un schéma en temps implicite de second ordre et des conditions de bords adéquats
The aim of this thesis is to deal with compressible Navier-Stokes flows discretized by Discontinuous Galerkin Finite Elements Methods. Several aspects has been considered. One is to show the optimal convergence of the DGFEM method when using high order polynomial. Second is to design shock-capturing methods such as slope limiters and artificial viscosity to suppress numerical oscillation occurring when p>0 schemes are used. Third aspect is to design an a posteriori error estimator for adaptive mesh refinement in order to optimize the mesh in the computational domain. And finally, we want to show the accuracy and the robustness of the DG method implemented when we reach very low mach numbers. Usually when simulating compressible flows at very low mach numbers at the limit of incompressible flows, there occurs many kind of problems such as accuracy and convergence of the solution. To be able to run low Mach number problems, there exists solution like preconditioning. This method usually modifies the Euler. Here the Euler equations are not modified and with a robust time scheme and good boundary conditions imposed one can have efficient and accurate results
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Books on the topic "High Resolution Shock Capturing"

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1934-, Jameson Antony, and United States. National Aeronautics and Space Administration, eds. High-resolution shock capturing scheme for high Mach number internal flow. [Washington, D.C.]: National Aeronautics and Space Administration, 1986.

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1934-, Jameson Antony, and United States. National Aeronautics and Space Administration, eds. High-resolution shock capturing scheme for high Mach number internal flow. [Washington, D.C.]: National Aeronautics and Space Administration, 1986.

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Center, Ames Research, ed. Numerical experiments with a symmetric high-resolution shock-capturing scheme. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1986.

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Center, Ames Research, ed. A class of high-resolution explicit and implicit shock-capturing methods. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1989.

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Center, Ames Research, ed. A class of high-resolution explicit and implicit shock-capturing methods. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1989.

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Center, Ames Research, ed. A class of high-resolution explicit and implicit shock-capturing methods. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1989.

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H, Klopfer Goetz, Montagne J. -L, and Ames Research Center, eds. High-resolution shock-capturing schemes for inviscid and viscous hypersonic flows. Moffet Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1988.

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H, Klopfer Goetz, Montagne J. -L, and Ames Research Center, eds. High-resolution shock-capturing schemes for inviscid and viscous hypersonic flows. Moffet Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1988.

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H, Klopfer Goetz, Montagne J. -L, and Ames Research Center, eds. High-resolution shock-capturing schemes for inviscid and viscous hypersonic flows. Moffet Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1988.

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C, Yee Henry, Vinokur Marcel, and Ames Research Center, eds. Comparative study of high-resolution shock-capturinng schemes for a real gas. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1987.

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Book chapters on the topic "High Resolution Shock Capturing"

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Shu, Chi-Wang, and Stanley Osher. "Efficient Implementation of Essentially Non-oscillatory Shock-Capturing Schemes, II." In Upwind and High-Resolution Schemes, 328–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-60543-7_14.

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Causon, D. M., D. M. Ingram, and G. Yang. "On Applications of High Resolution Shock Capturing Methods to Unsteady Flows." In Numerical Methods for Wave Propagation, 145–71. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-015-9137-9_6.

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Cai, Wei, David Gottlieb, and Chi-Wang Shu. "Essentially Nonoscillatory Spectral Fourier Methods for Shock Wave Calculations." In Upwind and High-Resolution Schemes, 375–96. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60543-7_15.

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Engquist, Bjorn, Ami Harten, and Stanley Osher. "A High Order Essentially Non-Oscillatory Shock Capturing Method." In Large Scale Scientific Computing, 197–208. Boston, MA: Birkhäuser Boston, 1987. http://dx.doi.org/10.1007/978-1-4684-6754-3_12.

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Marquina, A. "Two-Dimensional Boundary Layer Equations: High Resolution Capturing Methods." In Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects, 424–29. Wiesbaden: Vieweg+Teubner Verlag, 1993. http://dx.doi.org/10.1007/978-3-322-87871-7_51.

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Cottrell, P. L., W. A. Lawson, and S. M. Smith. "High Time Resolution Spectroscopic Observations of Stellar Shock Waves." In The Impact of Very High S/N Spectroscopy on Stellar Physics, 205–8. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2937-1_36.

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Cuesta, L., and J. P. Phillips. "Shock Modelling and High Resolution Spectroscopy of NGC 6905." In Planetary Nebulae, 375. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2088-3_174.

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Harten, Ami. "On High-Order Accurate Interpolation for Non-Oscillatory Shock Capturing Schemes." In The IMA Volumes in Mathematics and Its Applications, 71–105. New York, NY: Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8689-6_4.

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Arote, Ashish, Mukund Bade, and Jyotirmay Banerjee. "Comparative Study of the Fluid Interface-Capturing High-Resolution Algebraic Schemes." In Lecture Notes in Mechanical Engineering, 23–32. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-0159-0_3.

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Bogey, Christophe, Nicolas de Cacqueray, and Christophe Bailly. "A Dynamic Spatial Filtering Procedure for Shock Capturing in High-Order Computations." In Computational Fluid Dynamics 2008, 417–22. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01273-0_53.

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Conference papers on the topic "High Resolution Shock Capturing"

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Causon, D. M., and N. Clarke. "On high-resolution finite volume shock capturing schemes." In Current topics in shock waves 17th international symposium on shock waves and shock tubes Bethlehem, Pennsylvania (USA). AIP, 1990. http://dx.doi.org/10.1063/1.39402.

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Glines, Forrest Wolfgang, Matthew Anderson, and David Neilsen. "Scalable Relativistic High-Resolution Shock-Capturing for Heterogeneous Computing." In 2015 IEEE International Conference on Cluster Computing (CLUSTER). IEEE, 2015. http://dx.doi.org/10.1109/cluster.2015.110.

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Karabasov, Sergey, and Vasily Goloviznin. "Contrasting High-Resolution Characteristic Shock-Capturing Methods in Aeroacoustic Test Problems." In 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference). Reston, Virigina: American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-2924.

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Shershnev, Anton A., Abhishek Kundu, Alexey N. Kudryavtsev, Murugan Thangadurai, and Sudipta De. "Numerical simulation of viscous shock tube flow with shock-capturing and hybrid high-resolution schemes." In HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2019): Proceedings of the XXVI Conference on High-Energy Processes in Condensed Matter, dedicated to the 150th anniversary of the birth of S.A. Chaplygin. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5117417.

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Tamaki, Yoshiharu, and Taro Imamura. "Locally-Defined High-Resolution Scheme for Shock-Capturing Problems on Unstructured Cartesian Grids." In 22nd AIAA Computational Fluid Dynamics Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2015. http://dx.doi.org/10.2514/6.2015-3194.

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Weirs, V. "Low dissipative shock-capturing methods using weighted essentially nonoscillatory and central high resolution filters." In 15th AIAA Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2001. http://dx.doi.org/10.2514/6.2001-2667.

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Shershnev, Anton A., Alexey N. Kudryavtsev, Alexander V. Kashkovsky, and Dmitry V. Khotyanovsky. "HyCFS, a high-resolution shock capturing code for numerical simulation on hybrid computational clusters." In INTERNATIONAL CONFERENCE ON THE METHODS OF AEROPHYSICAL RESEARCH (ICMAR 2016): Proceedings of the 18th International Conference on the Methods of Aerophysical Research. Author(s), 2016. http://dx.doi.org/10.1063/1.4964018.

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BARVE, SUKRATU, RAJNEESH SHARMA, AMOLKUMAR BHOYAR, P. N. VERMA, and K. D. DHOTE. "WAVE FRONT CAPTURING USING DETONATION SHOCK DYNAMICS." In 32ND INTERNATIONAL SYMPOSIUM ON BALLISTICS. Destech Publications, Inc., 2022. http://dx.doi.org/10.12783/ballistics22/36057.

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High fidelity fluid dynamics based combustion models for reactive media can be implemented by way of simulations but require significantly large CPU effort. The Detonation Shock Dynamics (DSD) models offer a simpler alternative. The challenge presented while implementing DSD equations is mostly computational. Accuracy, simulation time and spatial resolution considerations turn out to counteract each other and a tradeoff is necessitated. We present simulation results obtained for a single detonation point using the level set method for DSD and describe an example of such a trade-off. We demonstrate that curvature dependence and independence of detonation velocity affects this trade-off. We then address the hydro-code results using a test case with five detonation points. The times of arrival of the detonation front at certain locations (gauge points) are taken to represent the shape of the detonation front. Times of arrival obtained using hydro-code are compared with those obtained by the level set method which has been optimized for the three considerations above. The shape of the front gets similarly reproduced in both cases, but the level set method over predicts the time of arrival up to 10 percent. We conclude that more efficient computing hardware needs to employed for DSD simulations and the level set method would serve as a quicker means for preliminary checks of detonation point arrangements. We also suggest a method for accommodating time delays at detonation points. The initial scalar field is assumed to be a combination of Gaussian functions centered at the detonation points. This is taken to represent the detonation at certain lead time which is accommodated for in the algorithm. This lead time is reduced if any delay is to be accommodated. The above method for accommodating time delay has a limitation. The initial radius cannot be made smaller that the radius set by the standard decay constant of the initial Gaussian profiles of the scalar field. The accommodated delay cannot be longer than this radius divided by detonation speed to be employed. We offer a work-around involving a construction of suitably located secondary detonation points.
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Dang, Son-Tung, Cong-Tu Ha, Warn Gyu Park, and Chul-Min Jung. "An Efficient Shock-Capturing Scheme for Simulating Compressible Homogeneous Mixture Flow." In ASME/JSME/KSME 2015 Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/ajkfluids2015-05154.

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In this paper, we focus on using high-resolution implicit upwind shock-capturing scheme to avoid the formation of non-linear instabilities and numerical oscillations across shock waves or discontinuities. The governing equation is the compressible Reynolds Averaged Navier-Stokes equation based on the homogeneous mixture model. A preconditioned method is applied for enhancing efficient and accurate computations over a wide range of Mach numbers. For evaluation, the results from the present study have been compared with experiments and other numerical results. A fairly good agreement with the experimental data and other numerical results have been obtained. Finally, the simulation of ventilated supercavitating flows over a torpedo with a hot propulsive jet was conducted to verify the efficiency of numerical scheme.
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Delanaye, M., and J. A. Essers. "Finite Volume Scheme With Quadratic Reconstruction on Unstructured Adaptive Meshes Applied to Turbomachinery Flows." In ASME 1995 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/95-gt-234.

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This paper presents a new finite volume cell-centered scheme for solving the 2D Euler equations. The technique for computing the advective derivatives is based on a high-order Gauss quadrature and an original quadratic reconstruction of the conservative variables for each control volume. A very sensitive detector identifying discontinuity regions switches the scheme to a TVD scheme, and ensures the monotonicity of the solution. The code uses unstructured meshes whose cells are polygons with any number of edges. A mesh adaptation based on cell division is performed in order to increase the resolution of shocks. The accuracy, insensitivity to grid distortions as well as the shock capturing properties of the scheme are demonstrated for different cascade flow computations.
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Reports on the topic "High Resolution Shock Capturing"

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Harten, A. On High-Order Accurate Interpolation for Non-Oscillatory Shock Capturing Schemes. Fort Belvoir, VA: Defense Technical Information Center, June 1985. http://dx.doi.org/10.21236/ada158131.

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Hall, Clint Allen, Michael David Furnish, Jason W. Podsednik, William Dodd Reinhart, Wayne Merle Trott, and Joshua Mason. Assessing mesoscale material response under shock & isentropic compression via high-resolution line-imaging VISAR. Office of Scientific and Technical Information (OSTI), October 2003. http://dx.doi.org/10.2172/918308.

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Malej, Matt, and Fengyan Shi. Suppressing the pressure-source instability in modeling deep-draft vessels with low under-keel clearance in FUNWAVE-TVD. Engineer Research and Development Center (U.S.), May 2021. http://dx.doi.org/10.21079/11681/40639.

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This Coastal and Hydraulics Engineering Technical Note (CHETN) documents the development through verification and validation of three instability-suppressing mechanisms in FUNWAVE-TVD, a Boussinesq-type numerical wave model, when modeling deep-draft vessels with a low under-keel clearance (UKC). Many large commercial ports and channels (e.g., Houston Ship Channel, Galveston, US Army Corps of Engineers [USACE]) are traveled and affected by tens of thousands of commercial vessel passages per year. In a series of recent projects undertaken for the Galveston District (USACE), it was discovered that when deep-draft vessels are modeled using pressure-source mechanisms, they can suffer from model instabilities when low UKC is employed (e.g., vessel draft of 12 m¹ in a channel of 15 m or less of depth), rendering a simulation unstable and obsolete. As an increasingly large number of deep-draft vessels are put into service, this problem is becoming more severe. This presents an operational challenge when modeling large container-type vessels in busy shipping channels, as these often will come as close as 1 m to the bottom of the channel, or even touch the bottom. This behavior would subsequently exhibit a numerical discontinuity in a given model and could severely limit the sample size of modeled vessels. This CHETN outlines a robust approach to suppressing such instability without compromising the integrity of the far-field vessel wave/wake solution. The three methods developed in this study aim to suppress high-frequency spikes generated nearfield of a vessel. They are a shock-capturing method, a friction method, and a viscosity method, respectively. The tests show that the combined shock-capturing and friction method is the most effective method to suppress the local high-frequency noises, while not affecting the far-field solution. A strong test, in which the target draft is larger than the channel depth, shows that there are no high-frequency noises generated in the case of ship squat as long as the shock-capturing method is used.
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Nelson, Nathan, and Charles F. Yocum. Structure, Function and Utilization of Plant Photosynthetic Reaction Centers. United States Department of Agriculture, September 2012. http://dx.doi.org/10.32747/2012.7699846.bard.

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Light capturing and energy conversion by PSI is one of the most fundamental processes in nature. In the heart of these adaptations stand PSI, PSII and their light harvesting antenna complexes. The main goal of this grant proposal was to obtain by X-ray crystallography information on the structure of plant photosystem I (PSI) and photosystem II (PSII) supercomplexes. We achieved several milestones along this line but as yet, like several strong laboratories around the world, we have no crystal structure of plant PSII. We have redesigned the purification and crystallization procedures and recently solved the crystal structure of the PSI supercomplex at 3.3 Å resolution. Even though this advance in resolution appears to be relatively small, we obtained a significantly improved model of the supercomplex. The work was published in J. Biol. Chem. (Amunts et al., 2010). The improved electron density map yielded identification and tracing of the PsaK subunit. The location of an additional 10 ß-carotenes, as well as 5 chlorophylls and several loop regions that were previously uninterruptable have been modeled. This represents the most complete plant PSI structure obtained thus far, revealing the locations of and interactions among 17 protein subunits and 193 non-covalently bound photochemical cofactors. We have continued extensive experimental efforts to improve the structure of plant PSI and to obtain PSII preparation amenable to crystallization. Most of our efforts were devoted to obtain well-defined subcomplexes of plant PSII preparations that are amenable to crystallization. We studied the apparent paradox of the high sensitivity of oxygen evolution of isolated thylakoids while BBY particles exhibit remarkable resilience to the same treatment. The integrity of the photosystem II (PSII) extrinsic protein complement as well as calcium effects arise from the Ca2+ atom associated with the site of photosynthetic water oxidation were investigated. This work provides deeper insights into the interaction of PsbO with PSII. Sight-directed mutagenesis indicated the location of critical sites involved in the stability of the water oxidation reaction. When combined with previous results, the data lead to a more detailed model for PsbO binding in eukaryotic PSII.
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