TY - JOUR

T1 - Preconditioning of the equations gas dynamics in calculations of flow compressed gas with low-Mach number

AU - Volkov, K.N.

AU - Karpenko, A.G.

PY - 2015

Y1 - 2015

N2 - Features of the simulation of low velocity inviscid and viscous compressible gas flows are considered, and a finite volume discretization of gas dynamics equations at low Mach numbers on unstructured meshes is discussed. Preconditioning based on the use of physical variables is used to speed up the convergence of time marching to a steady state and to improve the accuracy of the steady state solution. The structure of the preconditioning matrix and the diagonalization of the Jacobian of the preconditioned system of equations are discussed. The capabilities of this approach are demon strated using model gasdynamic simulations in a wide range of Mach numbers.

AB - Features of the simulation of low velocity inviscid and viscous compressible gas flows are considered, and a finite volume discretization of gas dynamics equations at low Mach numbers on unstructured meshes is discussed. Preconditioning based on the use of physical variables is used to speed up the convergence of time marching to a steady state and to improve the accuracy of the steady state solution. The structure of the preconditioning matrix and the diagonalization of the Jacobian of the preconditioned system of equations are discussed. The capabilities of this approach are demon strated using model gasdynamic simulations in a wide range of Mach numbers.

KW - preconditioning

KW - gas dynamics

KW - unstructured mesh

KW - finite volume method

KW - Euler and Navier–Stokes equations.

U2 - 10.1134/S0965542515060135

DO - 10.1134/S0965542515060135

M3 - Article

VL - 55

SP - 1058

EP - 1075

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 6

ER -