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A study of numerical methods for hyperbolic conservation laws with stiff source terms
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Yee, H. C. Leveque, R. J. |
| Copyright Year | 1988 |
| Description | The proper modeling of nonequilibrium gas dynamics is required in certain regimes of hypersonic flow. For inviscid flow this gives a system of conservation laws coupled with source terms representing the chemistry. Often a wide range of time scales is present in the problem, leading to numerical difficulties as in stiff systems of ordinary differential equations. Stability can be achieved by using implicit methods, but other numerical difficulties are observed. The behavior of typical numerical methods on a simple advection equation with a parameter-dependent source term was studied. Two approaches to incorporate the source term were utilized: MacCormack type predictor-corrector methods with flux limiters, and splitting methods in which the fluid dynamics and chemistry are handled in separate steps. Various comparisons over a wide range of parameter values were made. In the stiff case where the solution contains discontinuities, incorrect numerical propagation speeds are observed with all of the methods considered. This phenomenon is studied and explained. |
| File Size | 1294658 |
| Page Count | 24 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19880008959 |
| Archival Resource Key | ark:/13960/t72v7f98w |
| Language | English |
| Publisher Date | 1988-03-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Conservation Laws Nonequilibrium Flow Advection Gas Dynamics Reaction Kinetics Euler Equations of Motion Inviscid Flow Hypersonic Flow Chemical Reactions Hyperbolic Differential Equations Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
