TY - JOUR

T1 - Condition improvement for point relaxation in multigrid, subsonic Euler-flow computations

AU - Koren, B.

PY - 1995

Y1 - 1995

N2 - Insight is given into the conditions of derivative matrices to be inverted in point-relaxation methods for 1-D and 2-D, first-order upwind-discretized Euler equations. Speed regimes are found where ill-conditioning of these matrices occurs; 1-D flow equations appear to be less well conditioned than 2-D flow equations. The ill-conditioning is easily improved by adding regularizing matrices to the derivative matrices. A smoothing analysis is made of point Gauss-Seidel relaxation applied to discrete Euler equations conditioned by such an additive matrix. The method is successfully applied to a very low-subsonic, steady, 2-D stagnation flow.

AB - Insight is given into the conditions of derivative matrices to be inverted in point-relaxation methods for 1-D and 2-D, first-order upwind-discretized Euler equations. Speed regimes are found where ill-conditioning of these matrices occurs; 1-D flow equations appear to be less well conditioned than 2-D flow equations. The ill-conditioning is easily improved by adding regularizing matrices to the derivative matrices. A smoothing analysis is made of point Gauss-Seidel relaxation applied to discrete Euler equations conditioned by such an additive matrix. The method is successfully applied to a very low-subsonic, steady, 2-D stagnation flow.

U2 - 10.1016/0168-9274(95)00003-D

DO - 10.1016/0168-9274(95)00003-D

M3 - Article

VL - 16

SP - 457

EP - 469

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

SN - 0168-9274

IS - 4

ER -