Relevant bibliographies by topics / Incompressible Euler system

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Incompressible Euler system'

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Published: 14 March 2023

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Journal articles on the topic "Incompressible Euler system"

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Wang, Shu, Jianwei Yang, and Dang Luo. "Convergence of compressible Euler–Poisson system to incompressible Euler equations." Applied Mathematics and Computation 216, no. 11 (August 2010): 3408–18. http://dx.doi.org/10.1016/j.amc.2010.04.035.

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Masmoudi, Nader. "FROM VLASOV-POISSON SYSTEM TO THE INCOMPRESSIBLE EULER SYSTEM." Communications in Partial Differential Equations 26, no. 9-10 (September 1, 2001): 1913–28. http://dx.doi.org/10.1081/pde-100107463.

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Hmidi, Taoufik, and Samira Sulaiman. "Incompressible limit for the two-dimensional isentropic Euler system with critical initial data." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 144, no. 6 (December 2014): 1127–54. http://dx.doi.org/10.1017/s0308210512000509.

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We study the low-Mach-number limit for the two-dimensional isentropic Euler system with ill-prepared initial data belonging to the critical Besov space . By combining Strichartz estimates with the special structure of the vorticity, we prove that the lifespan of the solutions goes to infinity as the Mach number goes to zero. We also prove strong convergence results of the incompressible parts to the solution of the incompressible Euler system.
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Wu, Weijun, Fujun Zhou, and Yongsheng Li. "Incompressible Euler–Poisson limit of the Vlasov–Poisson–Boltzmann system." Journal of Mathematical Physics 63, no. 8 (August 1, 2022): 081502. http://dx.doi.org/10.1063/5.0054024.

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This paper is to justify the incompressible Euler–Poisson limit of the Vlasov–Poisson–Boltzmann system in the incompressible hyperbolic regime. The proof is based on a new [Formula: see text] framework, which consists of the [Formula: see text] energy estimate and the weighted [Formula: see text] estimate of the Vlasov–Poisson–Boltzmann system.
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Shi, Fei. "Incompressible limit of Euler equations with damping." Electronic Research Archive 30, no. 1 (2021): 126–39. http://dx.doi.org/10.3934/era.2022007.

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<abstract><p>The Cauchy problem for the compressible Euler system with damping is considered in this paper. Based on previous global existence results, we further study the low Mach number limit of the system. By constructing the uniform estimates of the solutions in the well-prepared initial data case, we are able to prove the global convergence of the solutions in the framework of small solutions.</p></abstract>
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Yang, Jianwei, and Hongli Wang. "Convergence of a Singular Euler-Maxwell Approximation of the Incompressible Euler Equations." Journal of Applied Mathematics 2011 (2011): 1–13. http://dx.doi.org/10.1155/2011/942024.

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This paper studies the Euler-Maxwell system which is a model of a collisionless plasma. By energy estimation and the curl-div decomposition of the gradient, we rigorously justify a singular approximation of the incompressible Euler equations via a quasi-neutral regime.
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Liu, Chundi, and Boyi Wang. "Quasineutral limit for a model of three-dimensional Euler–Poisson system with boundary." Analysis and Applications 16, no. 02 (February 5, 2018): 283–305. http://dx.doi.org/10.1142/s0219530517500051.

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Quasineutral limit for a model of three-dimensional Euler–Poisson system in half space with a boundary layer is studied. Based on the matched asymptotic expansion method of singular perturbation problem and the elaborate energy method, we prove that the quasineutral regime is the incompressible Euler equation.
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Saint Raymond, X. "Remarks on axisymmetric solutions of the incompressible euler system." Communications in Partial Differential Equations 19, no. 1-2 (January 1994): 321–34. http://dx.doi.org/10.1080/03605309408821018.

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FERNÁNDEZ, MIGUEL A., and MARWAN MOUBACHIR. "SENSITIVITY ANALYSIS FOR AN INCOMPRESSIBLE AEROELASTIC SYSTEM." Mathematical Models and Methods in Applied Sciences 12, no. 08 (August 2002): 1109–30. http://dx.doi.org/10.1142/s0218202502002094.

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This paper deals with problems arising in the sensitivity analysis for fluid-structure interaction systems. Our model consists of a fluid described by the incompressible Navier–Stokes equations interacting with a solid under large deformations. We obtain a linearized problem which allow us to compute the derivative of the state variable with respect to a given boundary parameter. We use a particular definition of the first-order correction for the perturbed state and consider a weak arbitrary Euler–Lagrange formulation for the coupled system.
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Wang, Shu, and Yongxin Wang. "The Global Well-Posedness for Large Amplitude Smooth Solutions for 3D Incompressible Navier–Stokes and Euler Equations Based on a Class of Variant Spherical Coordinates." Mathematics 8, no. 7 (July 21, 2020): 1195. http://dx.doi.org/10.3390/math8071195.

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This paper investigates the globally dynamical stabilizing effects of the geometry of the domain at which the flow locates and of the geometry structure of the solutions with the finite energy to the three-dimensional (3D) incompressible Navier–Stokes (NS) and Euler systems. The global well-posedness for large amplitude smooth solutions to the Cauchy problem for 3D incompressible NS and Euler equations based on a class of variant spherical coordinates is obtained, where smooth initial data is not axi-symmetric with respect to any coordinate axis in Cartesian coordinate system. Furthermore, we establish the existence, uniqueness and exponentially decay rate in time of the global strong solution to the initial boundary value problem for 3D incompressible NS equations for a class of the smooth large initial data and a class of the special bounded domain described by variant spherical coordinates.
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Dissertations / Theses on the topic "Incompressible Euler system"

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Fanelli, Francesco. "Mathematical analysis of models of non-homogeneous fluids and of hyperbolic equations with low regularity coefficients." Doctoral thesis, SISSA, 2012. http://hdl.handle.net/20.500.11767/4420.

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The present thesis is devoted to the study both of strictly hyperbolic operators with low regularity coefficients and of the density-dependent incompressible Euler system. On the one hand, we show a priori estimates for a second order strictly hyperbolic operator whose highest order coefficients satisfy a log-Zygmund continuity condition in time and a log-Lipschitz continuity condition with respect to space. Such an estimate involves a time increasing loss of derivatives...
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Book chapters on the topic "Incompressible Euler system"

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Bahouri, Hajer, Jean-Yves Chemin, and Raphaël Danchin. "Euler System for Perfect Incompressible Fluids." In Grundlehren der mathematischen Wissenschaften, 291–333. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-16830-7_7.

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Gotoda, Takeshi, and Takashi Sakajo. "Enstrophy Variations in the Incompressible 2D Euler Flows and $$\alpha $$ α Point Vortex System." In Mathematical Fluid Dynamics, Present and Future, 401–31. Tokyo: Springer Japan, 2016. http://dx.doi.org/10.1007/978-4-431-56457-7_14.

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Wang, Shu, Ke Wang, and Jianwei Yang. "The Convergence of Euler-Poisson System to the Incompressible Euler Equations." In Series in Contemporary Applied Mathematics, 225–57. CO-PUBLISHED WITH HIGHER EDUCATION PRESS, 2010. http://dx.doi.org/10.1142/9789814322898_0010.

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Conference papers on the topic "Incompressible Euler system"

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Caggio, M., B. Ducomet, Š. Nečasová, and T. Tang. "On the Problem of Singular Limit." In Topical Problems of Fluid Mechanics 2023. Institute of Thermomechanics of the Czech Academy of Sciences; CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics, 2023. http://dx.doi.org/10.14311/tpfm.2023.002.

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We consider the problem of singular limit of the compressible Euler system confined to a straight layer Ωδ = (0, δ)×R², δ > 0. In the regime of low Mach number limit and reduction of dimension the convergence to the strong solution of the 2D incompressible Euler system is shown.
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Muldoon, Frank, and Sumanta Acharya. "Mass Conservation in the Immersed Boundary Method." In ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77301.

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The immersed boundary approach for the modeling of complex geometries in incompressible flows is examined critically from the perspective of satisfying boundary conditions and mass conservation. The system of discretized equations for mass and momentum can be inconsistent if the real velocities are used in defining the forcing terms used to satisfy the boundary conditions. As a result, the velocity is generally not divergence free and the pressure at locations in the vicinity of the immersed boundary is not physical. However, the use of the pseudo velocities in defining the forcing (as frequently done when the governing equations are solved using a fractional step or projection method) combined with the use of the specified velocity on the immersed boundary is shown to result in a consistent set of equations which allows a divergence free velocity but, depending on the time step used to obtain a steady state solution, is shown to have an undesirable effect of allowing significant permeability of the immersed boundary. An improvement is shown if the pressure gradient is integrated in time using the Crank-Nicholson scheme instead of the backward Euler scheme. However, even with this improvement a significant reduction in the time step and hence increase in computational expense is still required for sufficient satisfaction of the boundary conditions.
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Dowell, Earl H., Kenneth C. Hall, and Michael C. Romanowski. "Reduced Order Aerodynamic Modeling of How to Make CFD Useful to an Aeroelastician." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0166.

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Abstract In this article, we review the status of reduced order modeling of unsteady aerodynamic systems. Reduced order modeling is a conceptually novel and computationally efficient technique for computing unsteady flow about isolated airfoils, wings, and turbomachinery cascades. Starting with either a time domain or frequency domain computational fluid dynamics (CFD) analysis of unsteady aerodynamic or aeroacoustic flows, a large, sparse eigenvalue problem is solved using the Lanczos algorithm. Then, using just a few of the resulting eigenmodes, a Reduced Order Model of the unsteady flow is constructed. With this model, one can rapidly and accurately predict the unsteady aerodynamic response of the system over a wide range of reduced frequencies. Moreover, the eigenmode information provides important insights into the physics of unsteady flows. Finally, the method is particularly well suited for use in the active control of aeroelastic and aeroacoustic phenomena as well as in standard aeroelastic analysis for flutter or gust response. Numerical results presented include: 1) comparison of the reduced order model to classical unsteady incompressible aerodynamic theory, 2) reduced order calculations of compressible unsteady aerodynamics based on the full potential equation, 3) reduced order calculations of unsteady flow about an isolated airfoil based on the Euler equations, and 4) reduced order calculations of unsteady viscous flows associated with cascade stall flutter, 5) flutter analysis using the Reduced Order Model. The presentation will include our most recent results including the use of A-one Orthogonal Decomposition as an alternative or complement to eigenmodes.
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Lee, Yu-Tai, and JinZhang Feng. "Potential and Viscous Interactions for a Multi-Blade-Row Compressor." In ASME Turbo Expo 2003, collocated with the 2003 International Joint Power Generation Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/gt2003-38560.

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A computationally efficient time-accurate vortex method for unsteady incompressible flows through multiple blade row systems is presented. The method represents the boundary surfaces using vortex systems. A local coordinate system is assigned to each independently moving blade row. Blade shed vorticity is determined from two generating mechanisms and convected using the Euler equation. The first mechanism of vorticity generation is a potential mechanism from a nonlinear unsteady pressure-type Kutta condition applied at the blade trailing edges. The second mechanism is a viscous mechanism from a viscous wake vorticity (VWV) model implemented to simulate the viscous shear layers on the blade pressure and suction sides. Two different two-blade-row compressor systems, a rotor/stator (R/S) system and a stator/rotor (S/R) system, were used to investigate the interaction forces on each blade row. Computational results of the potential and viscous interaction forces are presented and compared to measurements. The comparison suggests that the viscous wake interaction accounts for 25–30% of the peak loading for an axial spacing of 10% chord length between the blade rows. The efficient computational method is particularly attractive for blade indexing study. Therefore a three-blade-row rotor/stator/rotor (R1/S/R2) compressor system is used to demonstrate the indexing calculations between the two rotor positions. Resultant forces on each blade row are presented for ten rotor indexing positions and three axial gap sizes for the gaps between R1 and S and between S and R2. The unsteady peak-to-peak force can reach 10–15% of inflow dynamic head for the gap spacing investigated. The minimum-to-maximum variation of the unsteady force can account for 40–50% of averaged unsteady force.
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Duclercq, Marion, and Daniel Broc. "Physical and Numerical Study of the Interaction Between a Fluid and an Oscillating Cylinder." In ASME 2008 Pressure Vessels and Piping Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/pvp2008-61036.

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This paper deals with a vibratory problem of fluid-structure interaction. It considers the two-dimensional case of a rigid, smooth and circular cylinder undergoing transverse sinusoidal oscillations and immersed in a viscous fluid otherwise at rest. Our work is focused on the in-line force acting on the cylinder in unsteady laminar flow. The aim is to understand the variations of the force with time according to the configuration of the physical system. For that the analysis will also use an energetic approach based on the power balance. The physical system can be characterized by two non-dimensional numbers: the Reynolds number (Re) compares the importance of the fluid viscosity to its inertia, and the Keulegan-Carpenter number (Kc) measures the amplitude of the cylinder displacement compared to its diameter. First the incompressible Navier-Stokes equations are solved numerically by means of a finite elements method. The flow structure is analyzed by determining the evolution with time and throughout the computational domain of flow quantities, such as pressure field, vorticity field or stream lines. We also calculate the values versus time of the different terms occurring in the mean force balance and power balance. We compare these results for several pairs (Kc, Re) of “extreme” values. Thus it appears three characteristic configurations: the inertial Euler case (Kc≪1 and inviscid fluid), the Stokes case (Kc≪1 and Re≫1) and the drag case (Kc≫1). For these three reference configurations the physical mechanisms operating in the system are identified. But in intermediate cases, particularly when Kc&gt;1, every mechanisms interact. Consequently the evolution of the force acting on the cylinder versus time is more complex and its interpretation becomes less straightforward. That is why a quantitative energetic analysis is carried out. We define a measure of the dissipative energy present in the flow. Then we compare the values of that coefficient for different cases throughout the map (Kc, Re).
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Camp, Joshua L., and Andrew Duggleby. "Compressible Euler Extension of a Massively-Parallel Spectral Element Solver." In ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fedsm2012-72308.

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Current supercomputing systems have tens or hundreds of thousands of cores and are trending to GPU and co-compute platforms that deliver thousands of cores per node. Modern computational fluid dynamics codes must be designed to take advantage of these developments in order to further their use in the design cycle. Furthermore, these codes must be highly accurate, stable, and geometrically flexible. NEK5000 is a massively-parallel spectral element code that exhibits these characteristics but currently only for incompressible and low-Mach flows. Adding capabilities for NEK5000 to solve the fully compressible Navier-Stokes equations will extend its usefulness to aerospace applications. As a first step the following work extends NEK5000’s capabilities to solve the 2D compressible Euler equations. Using the conservative formulation, the equations are discretized using a non-staggered spectral element mesh, and the state variables are advanced using 1st order explicit Euler time stepping. A channel with a 10% bump is used as a test case for the modification. The modified NEK5000 code performs very well despite not being optimized for use in hyperbolic equations.
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Lin, Zhe, Xiaodong Ruan, Baoling Cui, and Zuchao Zhu. "3-D Euler-Lagrange CFD Simulation of Particle Impact on Carrier Fluid Through Gate Valve." In ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fedsm2012-72202.

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Gate valves are widely used in dilute Pneumatic conveying systems. The flow characteristic of carrier fluid through the valve changes under the effect of particles. In this study, in order to obtain the influence of particle parameters on carrier fluid while flowing through a gate valve, a three dimensional Euler-Lagrange model is used to simulate gas-solid flow at three opening degrees of valve. Since inlet velocity of air is very small and the Mach number is less than 10%, the carrier fluid is set as incompressible Newtonian fluid. The investigated particle parameters include mass flux ratio (κ) and diameter of particles (d). An important coefficient namely flow coefficient (Cv) is calculated to express the flow properties. Our results demonstrate that the particles do little, if any, effect on the flow properties when the valve is in full open position. However, with the closure of valve, the influence of particles on carrier fluid becomes more significant. Besides, the influence extent of particles on carrier fluid increases with mass flux ratio while decreases with the increasing of particle diameter. This study gives a suggestion that for dilute phase flow of Pneumatic conveying, the influence of particles on carrier fluid can be neglected if valve is of full open condition, otherwise the effect should not be neglected. Further study will focus on two phase flow field in valves under transient conditions.
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Martins, M. A. D., L. L. Aguiar, B. D. Sena, and J. A. M. Muñoz. "Numerical-Experimental Study of Global Buckling in Catenary Risers." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-19209.

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Abstract Risers are critical structures for the offshore oil and gas industry connecting floating production platforms to seabed equipment for production, injection and export functions, often through catenary configurations. The effect of external flow induced vibrations (VIV) and the occurrence of buckling are critical factors to lifespan of these structures. Therefore, the consistent evaluation of these factors is a strategic issue. Software for riser structural analysis usually employs Morison’s equation [1] to evaluate hydrodynamic forces along riser structure. Although this methodology is well established, their results are potentially conservative due to simplifications, besides not including lift forces. The present work employs an alternative methodology to calculate hydrodynamic loading on risers, based on the discrete vortex method (DVM) [2]. The DVM uses the Lagrangian approach in the vortex modeling, for incompressible, two-dimensional flows with regions of high vorticity and with dominant convective effect over the viscous one. The method creates and moves vortices along the riser wall perimeter, updates wake vortices at every time step considering the Biot-Savart law and calculates circulation by imposing the zero normal velocity condition on the riser wall. The structural analysis software, based on finite element method (FEM), Anflex [3], drives the DVM algorithm. Anflex applies an implicit time integration algorithm based on Newmark method together with three-dimensional nonlinear Euler beam elements with large displacements. This coupling occurs by modeling the flow in two-dimensional domains, called DVM planes, associated with each structural finite element along riser structure. The flow through DVM planes is responsible for the hydrodynamic forces on the structure, which in turn interferes with the fluid flow by structure displacements, performing a two-way coupling process [4]. This work presents experimental model results of a free catenary riser subjected to top-end displacements in still water, and compares them to numerical results obtained by Anflex/DVM. The experimental riser model is 41.45 m long under a 14.5 m water depth. Two-dimensional AMTI load cells [5] measured the catenary top force values and MCS Qualisys camera system [6] captured displacements on 40 points along the riser model. LabOceano hydrodynamic tank [7] performed the tests. The results comprised out-of-plane catenary vibration, catenary top force, and deformed configuration with global buckling at touch down point region (TDP). The experimental results showed significant self-induced vibrations due to the vertical movements applied at top connection, which indicated that the global buckling at TDP is highly influenced by these vibrations. Numerical analysis using Anflex/DVM showed good agreement with the experimental results. Anflex/DVM satisfactorily captured TDP buckling, which did not occur for the model based on Morison’s equation. These results indicated that the DVM-based method leads to more realistic dynamic responses, when compared to Morison’s equation. This paper defines global buckling as the dynamic wavy configuration that takes place at the TDP region of the riser under compression loading due to the vertical movement imposed at the riser top.
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Lagumbay, Randy S., Oleg V. Vasilyev, Andreas Haselbacher, and Jin Wang. "Numerical Simulation of a Supersonic Three-Phase Cavitating Jet Flow Through a Gaseous Medium in Injection Nozzle." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-82948.

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A new multiphase mathematical model based on a mixture formulation of the laws of conservation for a multiphase flow is used to simulate a supersonic three-phase cavitating jet flow through a gaseous medium. The model does not require an adhoc closure for the variation of mixture density with regards to the attendant pressure and yields a thermodynamically accurate value for the acoustical propagation generated by the process. A source term for cavitation is added into the equations of the mixture formulation and the resultant cavitation is mathematically modeled accordingly. The new numerical formulation has been incorporated into a multi-physics unstructured code “RocfluMP” that solves the modified three-dimensional time-dependent Euler/Navier-Stokes equations for a multiphase framework in integral form. A modified form of the Harten, Lax and van Leer approximate Riemann equations are used to resolve the isolated shock and contact waves. The newly developed multiphase flow equations provide a general framework for analyzing coupled incompressible-compressible multiphase flows that can be applied to a variety of supersonic multiphase jet flow problems such as fuel injection systems and liquid-jet machining. Preliminary results for three-phase cavitating jet flow through a gaseous medium in injection nozzle are presented and discussed.
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Lagumbay, Randy S., Oleg V. Vasilyev, Andreas Haselbacher, and Jin Wang. "Numerical Simulation of a High Pressure Supersonic Multiphase Jet Flow Through a Gaseous Medium." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-61008.

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Computational Fluid Dynamics (CFD) analysis is used to numerically study the structure and dynamics of a high-pressure, high-speed jet of a gas/liquid mixture through a gaseous medium close to the nozzle region. The complex structure of the jet near the nozzle region is captured before it breaks-up downstream. A new multiphase model based on a mixture formulation of the conservation laws for a multiphase flows is used in the simulation. The model does not require ad-hoc closure for the variation of mixture density with pressure and yields thermodynamically accurate acoustic propagation for multiphase mixtures. The numerical formulation has been implemented to a multi-physics unstructured code “RocfluMP” that solves the modified three-dimensional time-dependent Euler/Navier-Stokes equations for a multiphase framework in integral form. The Roe’s approximate Riemann solver is used to allow capturing of shock waves and contact discontinuities. For a very steep gradient, an HLLC scheme is used to resolved the isolated shock and contact waves. The developed flow solver provides a general coupled incompressible-compressible multiphase framework that can be applied to a variety of supersonic jet flow problems including fuel injection systems, thermal and plasma spray coating, and liquid-jet machining. Preliminary results for shock tube analysis and gas/liquid free surface jet flow through a gaseous medium are presented and discussed.
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