Stable boundary approximations for a class of implicit schemes for the one-dimensional inviscid equations of gas dynamics
Abstract
The applicability to practical calculations of recent theoretical developments in the stability analysis of difference approximations for initial-boundary-value problems of the hyperbolic type. For the numerical experiments, select the one-dimensional inviscid gas-dynamic equations in conservation-law form is selected. A class of implicit schemes based on linear multistep methods for ordinary differential equations is chosen and the use of space or space-time extrapolations as implicit or explicit boundary schemes is emphasized. Some numerical examples with various inflow-outflow conditions highlight the commonly discussed issues: explicit versus implicit boundary schemes, unconditionally stable schemes, and underspecification or overspecification of boundary conditions.
- Publication:
-
5th Computational Fluid Dynamics Conference
- Pub Date:
- 1981
- Bibcode:
- 1981cfd..conf..125Y
- Keywords:
-
- Approximation;
- Computational Fluid Dynamics;
- Flow Equations;
- Gas Dynamics;
- Nozzle Flow;
- Numerical Stability;
- Boundary Conditions;
- Boundary Value Problems;
- Conservation Laws;
- Finite Difference Theory;
- Inviscid Flow;
- One Dimensional Flow;
- Space-Time Functions;
- Fluid Mechanics and Heat Transfer