Stable boundary approximations for a class of implicit schemes for the one-dimensional inviscid equations of gas dynamicsThe 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.
Document ID
19810053134
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Yee, H. C. (NASA Ames Research Center Moffett Field, CA, United States)
Beam, R. M. (NASA Ames Research Center Moffett Field, CA, United States)
Warming, R. F. (NASA Ames Research Center Moffett Field, Calif., United States)