A simplified TVD finite difference sheme via artificial viscousity
SIAM Journal on Scientific and Statistical Computing - Papers from the Second Conference on Parallel Processing for Scientific Computin
An approximate linearised Riemann solver for the Euler equations for real gases
Journal of Computational Physics
Splitting of inviscid fluxes for real gases
Journal of Computational Physics
Generalized Flux-Vector splitting and Roe average for an equilibrium real gas
Journal of Computational Physics
An extension of Roe's upwind scheme to algebraic equilibrium real gas models
Computers and Fluids
An evaluation of Roe's scheme generalizations for equilibrium real gas flows
Journal of Computational Physics
Solution of the Riemann problem of classical gasdynamics
Journal of Computational Physics
Numerical simulation of near-critical fluids
Applied Numerical Mathematics - Applied scientific computing: Advances in grid generation, approximation and numerical modeling
Finite element/volume solution to axisymmetric conservation laws
Journal of Computational Physics
Numerical schemes for a system of one-dimensional hyperbolic equations
Annales UMCS, Informatica
Numerical schemes for a system of one-dimensional hyperbolic equations
Annales UMCS, Informatica
Hi-index | 31.47 |
An extension of the Roe linearization method to nonideal gases is described and applied to the particular case of the van der Waals gas. A supplementary relation connecting the thermodynamic variables is introduced to decouple the evaluation of the intermediate velocity and total specific enthalpy from the determination of the intermediate density, needed in the Jacobian matrix of the linearization due to the general thermodynamic character of the gas. The density value is obtained by solving the supplementary equation, which involves the Roe average of velocity and enthalpy, and that in the case of the polytropic van der Waals gas is a third-order algebraic equation. Numerical results are shown including classical and nonclassical behaviour in one-dimensional shock tube problems.