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Showing 1 to 13 of 13 for “"Flux vector splitting"”.
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All Mach Number Schemes for Highly Magnetised MHD flows and Multi-material Modelling
… on a rich body of literature, and relying on a flux vector splitting framework, in this thesis we develop novel all Mach number algorithms in two key areas of research and applications: (i) visco-resistive, magnetically dominated magnetohydrodynamic (MHD) flows and (ii) multi-material flows. …
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Experimental and Numerical Investigations of the Effects of Incident Turbulence on the Flow Over a Surface-Mounted Prism
… that the spectra are sensitive to the method of flux vector splitting needed for the implementation of the upwind scheme. With van Leer splitting, the CUD-II-5 scheme is found to be too dissipative. On the other hand, using the Lax-Friedrichs vector splitting yields good agreement with …
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A comparison of flux-splitting algorithms for the Euler equations with equilibrium air chemistry
The use of flux-splitting techniques on the Euler equations is considered for high Mach number, high temperature flows in which the fluid is assumed to be inviscid air in equilibrium. Three different versions of real gas extensions to the Steger-Warming and Van Leer flux-vector splitting, and four …
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Kinetic algorithms for non-equilibrium gas dynamics
… (CIR) scheme at the Boltzmann level results in a flux-vector splitting scheme at the Euler level and is called Kinetic Flux-Vector Splitting (KFVS). Extension to flows with finite-rate chemistry and vibrational relaxation is accomplished utilizing non-equilibrium kinetic theory. Computational …
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Nozzle Flow with Vibrational Nonequilibrium
… are solved numerically using the Steger-Warming flux vector splitting method and the Implicit MacCormack method. The results show that uniform flow is produced outside of the boundary layer. Nonequilibrium exists in both the converging and diverging nozzle sections. The boundary layer region is …
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Extension to Multiple Species of a Two-Equation Turbulence Model for High Speed Flows
… for high speed flows using the Steger-Warming flux-vector splitting scheme. The model was chosen because compressibility corrections are not required, nor are viscous damping factors or wall functions to produce the law of the wall, and it has previously been validated for approximately one …
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Derivation of a Numerical Method for Computing 3-D Magnetoplasmadynamic Flows in Thermodynamic Non-equilibrium
… pressure as a surface force. The method of flux vector splitting has been chosen to solve the set of <em>ns+</em>12<em> </em>equations, <em>ns </em>being the number of heavy particles involved in the flow. In addition, it presents the mathematical issues encountered in using this method. The …
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Techniques for compressible flow calculations on multi-zone grids
… in order to model real gas effects in Van Leer's flux vector splitting (FVS) and Roe’s flux difference splitting (FDS) scheme. A hybrid approximate-factorization (AF)/relaxation algorithm is used as an efficient solver of the Euler, parabolized Navier-Stokes, and thin-layer Navier-Stokes …
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A Cartesian finite-volume method for the Euler equations
… is developed in conjunction with implicit flux-splitting schemes. A variety of numerical computations have been performed to validate the numerical methodologies developed. Computations for supersonic flow over a flat plate with an impinging shock wave are used to verify the numerical …
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Numerical Navier-Stokes solutions of supersonic slot injection problems
… technique used is the upwind method of Roe’s flux difference splitting (FDS) with vertical line Gauss-Seidel relaxation applied to the thin layer Navier-Stokes equations. To test the accuracy of the numerical methods without the complications and uncertainties of turbulence modeling, two …
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Gradient-Based Optimum Aerodynamic Design Using Adjoint Methods
… A numerical method, based on the Steger-Warming flux-vector-splitting scheme, is proposed to solve the adjoint equations. This scheme can finely resolve the singularity at the sonic throat. A non-uniform grid, with points clustered near the throat region, can resolve it even better. The …
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Conservative numerical schemes for unsteady 1D two phase flow
… como "Approximate Riemann Solvers" o métodos "Flux Vector Splitting". Fundamentalmente hemos estudiado los esquemas TVD, TVD Adaptados y la familia de esquemas AUSM. [ENG]The thesis is devoted to the modelization of non steady two phase mixtures of liquid and vapour. It has been motivated by …
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Semi-implicit schemes for compressible fluids in elastic pipes and a-posteriori sub-cell finite volume limiting techniques for semi-implicit Discontinuous Galerkin schemes for hyperbolic conservation laws on staggered meshes
… Here, the governing PDE are rewritten using a flux vector splitting technique. The convective terms are updated using an explicit Runge-Kutta DG integrator. Then, the discrete momentum equation, which is integrated again on the dual grid, is coupled with the discrete energy equation that is …