Abstract
Following van Leer's MUSCL idea, a numerical scheme can be regarded as consisting of two key steps: a reconstruction step followed by a gas evolution step. We present a gas-kinetic method based on the collisional BGK model which provides an alternative to Riemann solvers for the gas evolution step. An advanced BGK-scheme is derived under quite general assumptions on the initial conditions. The new formulation uses interpolation of the characteristic variables in the reconstruction step and a BGK-type flow solver in the gas evolution step. The scheme satisfies both an entropy condition and a positivity condition, which guarantees a positive density and temperature at the cell interface during a complete time step. Numerical results for one-dimensional and two-dimensional test cases are presented to show the accuracy and robustness of the proposed approach.
Original language | English (US) |
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Pages (from-to) | 213-235 |
Number of pages | 23 |
Journal | International Journal of Computational Fluid Dynamics |
Volume | 7 |
Issue number | 3 |
DOIs | |
State | Published - 1996 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Aerospace Engineering
- Energy Engineering and Power Technology
- Computational Mechanics
Keywords
- BGK-type flow solver
- Characteristic reconstruction
- Compressible flows
- Entropy and positivity conditions