A new semi-Lagrangian scheme for the polyatomic ESBGK model that is asymptotic preserving, stiffly accurate, and converges to Navier-Stokes with correct coefficients in the continuum limit.
High order semi-Lagrangian methods for the BGK equation
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abstract
A new class of high-order accuracy numerical methods for the BGK model of the Boltzmann equation is presented. The schemes are based on a semi-lagrangian formulation of the BGK equation; time integration is dealt with DIRK (Diagonally Implicit Runge Kutta) and BDF methods; the latter turn out to be accurate and computationally less expensive than the former. Numerical results and examples show that the schemes are reliable and efficient for the investigation of both rarefied and fluid regimes in gasdynamics.
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A semi-Lagrangian method for the polyatomic ESBGK model
A new semi-Lagrangian scheme for the polyatomic ESBGK model that is asymptotic preserving, stiffly accurate, and converges to Navier-Stokes with correct coefficients in the continuum limit.
- A meshless MUSCL method for the BGK-Boltzmann equation