Academic literature on the topic 'Inviscid Compressible Fluid Flows'

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Journal articles on the topic "Inviscid Compressible Fluid Flows"

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Lin, Jianyu, Hang Ding, Xiyun Lu, and Peng Wang. "A Comparison Study of Numerical Methods for Compressible Two-Phase Flows." Advances in Applied Mathematics and Mechanics 9, no. 5 (July 11, 2017): 1111–32. http://dx.doi.org/10.4208/aamm.oa-2016-0084.

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AbstractIn this article a comparison study of the numerical methods for compressible two-phase flows is presented. Although many numerical methods have been developed in recent years to deal with the jump conditions at the fluid-fluid interfaces in compressible multiphase flows, there is a lack of a detailed comparison of these methods. With this regard, the transport five equation model, the modified ghost fluid method and the cut-cell method are investigated here as the typical methods in this field. A variety of numerical experiments are conducted to examine their performance in simulating inviscid compressible two-phase flows. Numerical experiments include Richtmyer-Meshkov instability, interaction between a shock and a rectangle SF6 bubble, Rayleigh collapse of a cylindrical gas bubble in water and shock-induced bubble collapse, involving fluids with small or large density difference. Based on the numerical results, the performance of the method is assessed by the convergence order of the method with respect to interface position, mass conservation, interface resolution and computational efficiency.
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Bogoyavlenskij, Oleg. "Invariants and Conserved Quantities for the Helically Symmetric Flows of an Inviscid Gas and Fluid with Variable Density." Zeitschrift für Naturforschung A 74, no. 3 (February 25, 2019): 245–51. http://dx.doi.org/10.1515/zna-2018-0504.

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AbstractNew material conservation laws and conserved quantities are derived for the helically symmetric flows of an inviscid compressible gas and an ideal incompressible fluid with variable density$\rho(\mathbf{x},\;t)$.
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Feireisl, Eduard, Antonín Novotný, and Hana Petzeltová. "Suitable weak solutions: from compressible viscous to incompressible inviscid fluid flows." Mathematische Annalen 356, no. 2 (October 25, 2012): 683–702. http://dx.doi.org/10.1007/s00208-012-0862-5.

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Bogoyavlenskij, Oleg. "Invariants of the Axisymmetric Flows of an Inviscid Gas and Fluid with Variable Density." Zeitschrift für Naturforschung A 73, no. 10 (October 25, 2018): 931–37. http://dx.doi.org/10.1515/zna-2018-0229.

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AbstractMaterial conservation laws and integral invariants are constructed for the axisymmetric flows of an inviscid compressible gas and an ideal incompressible fluid with variable density$\rho(\mathbf{x},t)$. The functional independence of the new invariants from helicity is proven.
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Wróblewski, Włodzimierz, Sławomir Dykas, and Tadeusz Chmielniak. "Models for water steam condensing flows." Archives of Thermodynamics 33, no. 1 (August 1, 2012): 67–86. http://dx.doi.org/10.2478/v10173-012-0003-2.

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Models for water steam condensing flows The paper presents a description of selected models dedicated to steam condensing flow modelling. The models are implemented into an in-house computational fluid dynamics code that has been successfully applied to wet steam flow calculation for many years now. All models use the same condensation model that has been validated against the majority of available experimental data. The state equations for vapour and liquid water, the physical model as well as the numerical techniques of solution to flow governing equations have been presented. For the single-fluid model, the Reynolds-averaged Navier-Stokes equations for vapour/liquid mixture are solved, whereas the two-fluid model solves separate flow governing equations for the compressible, viscous and turbulent vapour phase and for the compressible and inviscid liquid phase. All described models have been compared with relation to the flow through the Laval nozzle.
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Tunney, Adam P., James P. Denier, Trent W. Mattner, and John E. Cater. "A new inviscid mode of instability in compressible boundary-layer flows." Journal of Fluid Mechanics 785 (November 23, 2015): 301–23. http://dx.doi.org/10.1017/jfm.2015.627.

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The stability of an almost inviscid compressible fluid flowing over a rigid heated surface is considered. We focus on the boundary layer that arises. The effect of surface heating is known to induce a streamwise acceleration in the boundary layer near the surface. This manifests in a streamwise velocity which exhibits a maximum larger than the free-stream velocity (i.e. the streamwise velocity exhibits an ‘overshoot’ region). We explore the impact of this overshoot on the stability of the boundary layer, demonstrating that the compressible form of the classical Rayleigh equation (which governs the development of short wavelength instabilities) possesses a new unstable mode that is a direct consequence of this overshoot. The structure of this new class of modes in the small wavenumber limit is detailed, providing a valuable confirmation of our numerical results obtained from the full inviscid eigenvalue problem.
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Wu, Xinglong, and Qian Zhou. "Onsager’s Energy Conservation of Weak Solutions for a Compressible and Inviscid Fluid." Fractal and Fractional 7, no. 4 (April 12, 2023): 324. http://dx.doi.org/10.3390/fractalfract7040324.

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In this article, two classes of sufficient conditions of weak solutions are given to guarantee the energy conservation of the compressible Euler equations. Our strategy is to introduce a test function φ(t)vϵ to derive the total energy. The velocity field v needs to be regularized both in time and space. In contrast to the noncompressible Euler equations, the compressible flows we consider here do not have a divergence-free structure. Therefore, it is necessary to make an additional estimate of the pressure p, which takes advantage of an appropriate commutator. In addition, by using the weak convergence, we show that the energy equality is conserved in a point-wise sense.
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Santos, Maria Angela Vaz dos, and Armando Miguel Awruch. "Numerical Analysis of Compressible Fluids and Elastic Structures Interaction." Applied Mechanics Reviews 48, no. 11S (November 1, 1995): S195—S202. http://dx.doi.org/10.1115/1.3005071.

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A finite element algorithm to simulate two dimensional flows of viscous and inviscid compressible fluids for a wide range of Mach numbers is presented in this work. This model is coupled to immersed deformable structures through equilibrium and compatibility conditions in order to analyze its dynamic behavior. For the fluid, time integration is performed by a two-step Taylor-Galerkin explicit scheme and Newmark’s method is used to obtain the dynamic response of the structure. An arbitrary mixed Euler-Lagrange description is used to re-define a new finite element mesh in the presence of the immersed structure displacements. Finally, several examples are included showing the model behavior and possibilities for future expansions.
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Vyas, D. N., and Krishna M. Srivastava. "The stability of stratified shear flows of an inviscid compressible fluid in MHD." Astrophysics and Space Science 192, no. 2 (1992): 309–16. http://dx.doi.org/10.1007/bf00684488.

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Yang, Jie, and Song Ping Wu. "An Immersed Boundary Method for Compressible Flows with Complex Boundaries." Applied Mechanics and Materials 477-478 (December 2013): 281–84. http://dx.doi.org/10.4028/www.scientific.net/amm.477-478.281.

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An immersed boundary method based on the ghost-cell approach is presented in this paper. The compressible Navier-Stokes equations are discretized using a flux-splitting method for inviscid fluxes and second-order central-difference for the viscous components. High-order accuracy is achieved by using weighted essentially non-oscillatory (WENO) and Runge-Kutta schemes. Boundary conditions are reconstructed by a serial of linear interpolation and inverse distance weighting interpolation of flow variables in fluid domain. Two classic flow problems (flow over a circular cylinder, and a NACA 0012 airfoil) are simulated using the present immersed boundary method, and the predictions show good agreement with previous computational results.
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Dissertations / Theses on the topic "Inviscid Compressible Fluid Flows"

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Akargun, Yigit Hayri. "Least-squares Finite Element Solution Of Euler Equations With Adaptive Mesh Refinement." Master's thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12614138/index.pdf.

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Least-squares finite element method (LSFEM) is employed to simulate 2-D and axisymmetric flows governed by the compressible Euler equations. Least-squares formulation brings many advantages over classical Galerkin finite element methods. For non-self-adjoint systems, LSFEM result in symmetric positive-definite matrices which can be solved efficiently by iterative methods. Additionally, with a unified formulation it can work in all flight regimes from subsonic to supersonic. Another advantage is that, the method does not require artificial viscosity since it is naturally diffusive which also appears as a difficulty for sharply resolving high gradients in the flow field such as shock waves. This problem is dealt by employing adaptive mesh refinement (AMR) on triangular meshes. LSFEM with AMR technique is numerically tested with various flow problems and good agreement with the available data in literature is seen.
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Amoignon, Olivier. "Numerical Methods for Aerodynamic Shape Optimization." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-6252.

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Holder, Justin. "Fluid Structure Interaction in Compressible Flows." University of Cincinnati / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=ucin159584692691518.

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Tota, Prasad Venkateshwara. "Meshless Euler solver using radial basis functions for solving inviscid compressible flows." [Ames, Iowa : Iowa State University], 2006.

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Cole, Jeffrey William. "Hydrodynamic stability of compressible boundary layer flows." Thesis, University of Exeter, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.282650.

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Zuppel, Eddy. "A numerical method for compressible viscous fluid flows /." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=80158.

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The steady two-dimensional compressible Navier-Stokes equations are solved using an iterative pseudo-time relaxation technique. An implicit first-order accurate Euler scheme is implemented after augmenting the steady governing equations by pseudo-time derivative terms, including artificial compressibility in the continuity equation and preconditioning in the energy equation. These augmented equations are modified by lagging certain flow variables in pseudo-time and by applying approximate factorization and an alternating direction implicit (ADI) method to split the solution procedure into two successive sweeps.
Spatial discretization is performed on a stretched staggered grid using central differencing. Then, the momentum equations are decoupled with the elimination of the pressure terms using the continuity equation. The problem is thus reduced to the solution of a series of scalar tridiagonal systems of equations.
The computational method is validated for laminar incompressible flows in channels with downstream-facing steps and for laminar compressible flows past symmetric airfoils.
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Rudgyard, Michael A. "Cell vertex methods for compressible gas flows." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.279991.

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Nejat, Amir. "A higher-order accurate unstructured finite volume Newton-Krylov algorithm for inviscid compressible flows." Thesis, University of British Columbia, 2007. http://hdl.handle.net/2429/30969.

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A fast implicit (Newton-Krylov) finite volume algorithm is developed for higher-order unstructured (cell-centered) steady-state computation of inviscid compressible flows (Euler equations). The matrix-free General Minimal Residual (GMRES) algorithm is used for solving the linear system arising from implicit discretization of the governing equations, avoiding expensive and complicated explicit computation of the higher-order Jacobian matrix. An Incomplete Lower-Upper factorization technique is employed as the preconditioning strategy and a first-order Jacobian as a preconditioning matrix. The solution process is divided into two phases: start-up and Newton iterations. In the start-up phase an approximate solution of the fluid flow is computed which includes most of the physical characteristics of the steady-state flow. A defect correction procedure is proposed for the start-up phase consisting of multiple implicit pre-iterations. At the end of the start-up phase (when the linearization of the flow field is accurate enough for steady-state solution) the solution is switched to the Newton phase, taking an infinite time step and recovering a semi-quadratic convergence rate (for most of the cases). A proper limiter implementation for higher-order discretization is discussed and a new formula for limiting the higher-order terms of the reconstruction polynomial is introduced. The issue of mesh refinement in accuracy measurement for unstructured meshes is revisited. A straightforward methodology is applied for accuracy assessment of the higher-order unstructured approach based on total pressure loss, drag measurement, and direct solution error calculation. The accuracy, fast convergence and robustness of the proposed higher-order unstructured Newton-Krylov solver for different speed regimes are demonstrated via several test cases for the 2nd, 3rd and 4th-order discretization. Solutions of different orders of accuracy are compared in detail through several investigations. The possibility of reducing the computational cost required for a given level of accuracy using high-order discretization is demonstrated.
Applied Science, Faculty of
Mechanical Engineering, Department of
Graduate
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Michalak, Christopher. "Efficient high-order accurate unstructured finite-volume algorithms for viscous and inviscid compressible flows." Thesis, University of British Columbia, 2009. http://hdl.handle.net/2429/7094.

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High-order accurate methods have the potential to dramatically reduce the computational time needed for aerodynamics simulations. This thesis studies the discretization and efficient convergence to steady state of the high-order accurate finite-volume method applied to the simplified problem of inviscid and laminar viscous two-dimensional flow equations. Each of the three manuscript chapters addresses a specific problem or limitation previously experienced with these schemes. The first manuscript addresses the absence of a method to maintain monotonicity of the solution at discontinuities while maintaining high-order accuracy in smooth regions. To resolve this, a slope limiter is carefully developed which meets these requirements while also maintaining the good convergence properties and computational efficiency of the least-squares reconstruction scheme. The second manuscript addresses the relatively poor convergence properties of Newton-GMRES methods applied to high-order accurate schemes. The globalization of the Newton method is improved through the use of an adaptive local timestep and of a line search algorithm. The poor convergence of the linear solver is improved through the efficient assembly of the exact flux Jacobian for use in preconditioning and to eliminate the additional residual evaluations needed by a matrix-free method. The third manuscript extends the discretization method to the viscous fluxes and boundary conditions. The discretization is demonstrated to achieve the expected order of accuracy. The fourth-order scheme is also shown to be more computationally efficient than the second-order scheme at achieving grid-converged values of drag for two-dimensional laminar flow over an airfoil.
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Slack, David Christopher. "The development of solution algorithms for compressible flows." Diss., This resource online, 1991. http://scholar.lib.vt.edu/theses/available/etd-07282008-134254/.

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Books on the topic "Inviscid Compressible Fluid Flows"

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United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch., ed. A second-order accurate kinetic-theory-based method for inviscid compressible flows. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1987.

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United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch., ed. A second-order accurate kinetic-theory-based method for inviscid compressible flows. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1987.

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E, Jorgenson Philip C., and United States. National Aeronautics and Space Administration., eds. A mixed volume grid approach for the Euler and Navier-Stokes equations. [Washington, DC]: National Aeronautics and Space Administration, 1996.

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E, Jorgenson Philip C., and United States. National Aeronautics and Space Administration., eds. A mixed volume grid approach for the Euler and Navier-Stokes equations. [Washington, DC]: National Aeronautics and Space Administration, 1996.

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E, Grosch C., and Institute for Computer Applications in Science and Engineering., eds. Inviscid spatial stability of a compressible mixing layer. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1989.

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Feireisl, Eduard, Mária Lukáčová-Medviďová, Hana Mizerová, and Bangwei She. Numerical Analysis of Compressible Fluid Flows. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73788-7.

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Center, Langley Research, ed. Canonical forms of multidimensional steady inviscid flows. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1993.

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Institute for Computer Applications in Science and Engineering., ed. Krylov methods for compressible flows. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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Krainer, Andreas. Viscous-inviscid interaction analysis of incompressible cascade flows. Monterey, Calif: Naval Postgraduate School, 1986.

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Tuncer, Cebeci, ed. Computational fluid dynamics for engineers: From panel to Navier-Stokes methods with computer programs. Long Beach, Calif: Horizons Pub. Inc., 2005.

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Book chapters on the topic "Inviscid Compressible Fluid Flows"

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Feireisl, Eduard, Mária Lukáčová-Medviďová, Hana Mizerová, and Bangwei She. "Inviscid Fluids: Euler System." In Numerical Analysis of Compressible Fluid Flows, 25–55. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73788-7_2.

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Hafez, M., and A. C. B. Dimanlig. "Simulations of compressible inviscid flows over stationary and rotating cylinders." In Fluid- and Gasdynamics, 241–49. Vienna: Springer Vienna, 1994. http://dx.doi.org/10.1007/978-3-7091-9310-5_27.

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Pai, Shih-I., and Shijun Luo. "Anisentropic (Rotational) Flow of Inviscid Compressible Fluid." In Theoretical and Computational Dynamics of a Compressible Flow, 429–95. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4757-1619-1_14.

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Pai, Shih-I., and Shijun Luo. "One-Dimensional Flow of an Inviscid Compressible Fluid." In Theoretical and Computational Dynamics of a Compressible Flow, 43–69. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4757-1619-1_3.

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Arun, K. R., M. Lukáčová-Medvidová, Phoolan Prasad, and S. V. Raghurama Rao. "A Second Order Accurate Kinetic Relaxation Scheme for Inviscid Compressible Flows." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 1–24. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33221-0_1.

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Degrez, G. "Implicit Time-Dependent Methods for Inviscid and Viscous Compressible Flows, With a Discussion of the Concept of Numerical Dissipation." In Computational Fluid Dynamics, 180–222. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-11350-9_9.

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Steger, Joseph L., and Pieter G. Buning. "Developments in the Simulation of Compressible Inviscid and Viscous Flow on Supercomputers." In Progress and Supercomputing in Computational Fluid Dynamics, 67–91. Boston, MA: Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4612-5162-0_5.

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Pai, Shih-I., and Shijun Luo. "Fundamental Equations of the Dynamics of a Compressible Inviscid, Non-Heat-Conducting and Radiating Fluid." In Theoretical and Computational Dynamics of a Compressible Flow, 103–45. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4757-1619-1_5.

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Fang, Chung. "Compressible Inviscid Flows." In Springer Textbooks in Earth Sciences, Geography and Environment, 379–436. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91821-1_9.

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Uddin, Naseem. "Compressible Flows." In Fluid Mechanics, 417–68. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003315117-16.

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Conference papers on the topic "Inviscid Compressible Fluid Flows"

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Ghosh, A., and S. Deshpande. "Least squares kinetic upwind method for inviscid compressible flows." In 12th Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1995. http://dx.doi.org/10.2514/6.1995-1735.

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PAILLERE, H., H. DECONINCK, P. ROE, L. MESAROS, J. D. MUELLER, and R. STRUIJS. "Computations of inviscid compressible flows using fluctuation-splitting on triangular meshes." In 11th Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1993. http://dx.doi.org/10.2514/6.1993-3301.

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Iacono, Francesca, Georg May, and Z. Wang. "Relaxation Techniques for High-Order Discretizations of Steady Compressible Inviscid Flows." In 40th Fluid Dynamics Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2010. http://dx.doi.org/10.2514/6.2010-4991.

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Su, Jichao. "A Viscous-Inviscid Zonal Method for Compressible and Incompressible Viscous Flows." In 17th AIAA Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2005. http://dx.doi.org/10.2514/6.2005-5340.

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Nejat, Amir, and Carl Ollivier-Gooch. "A High-Order Accurate Unstructured GMRES Algorithm for Inviscid Compressible Flows." In 17th AIAA Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2005. http://dx.doi.org/10.2514/6.2005-5341.

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BELL, JOHN, MICHAEL WELCOME, and PHILLIP COLELLA. "Conservative front-tracking for inviscid compressible flow." In 10th Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1991. http://dx.doi.org/10.2514/6.1991-1599.

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SHYY, WEI, and MARK BRAATEN. "Adaptive grid computation for inviscid compressible flows using a pressure correction method." In 1st National Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1988. http://dx.doi.org/10.2514/6.1988-3566.

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Tota, Prasad, and Zhi Wang. "Meshfree Euler Solver Using Local Radial Basis Functions for Inviscid Compressible Flows." In 18th AIAA Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-4581.

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Nejat, Amir, and C. Ollivier-Gooch. "A High-Order Accurate Unstructured Newton-Krylov Solver for Inviscid Compressible Flows." In 36th AIAA Fluid Dynamics Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2006. http://dx.doi.org/10.2514/6.2006-3711.

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Chit, Ong, Ashraf Omar, Waqar Asrar, and Megat Hamdan. "Development of Gas-Kinetic BGK Scheme for Two-Dimensional Compressible Inviscid Flows." In 34th AIAA Fluid Dynamics Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2004. http://dx.doi.org/10.2514/6.2004-2708.

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Reports on the topic "Inviscid Compressible Fluid Flows"

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Richard C. Martineau and Ray A. Berry. An Efficient, Semi-implicit Pressure-based Scheme Employing a High-resolution Finitie Element Method for Simulating Transient and Steady, Inviscid and Viscous, Compressible Flows on Unstructured Grids. Office of Scientific and Technical Information (OSTI), April 2003. http://dx.doi.org/10.2172/910726.

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