A method of adaptive artificial viscosity for solving numerically the equations of a viscous heat-conducting compressible gas

Статья посвящена численному решению уравнений динамики вязкого сжимаемого теплопроводного газа на неструктурированных тетраэдальных сетках. Предложена комбинация методов МакКормака и Лакса-Вендроффа, которая позволяет провести приближенную монотонизацию разностной схемы с помощью введения адаптивной искусственной вязкости и метода "замороженных" коэффициентов. Результаты расчетов согласуются с натурными экспериментами. This paper is devoted to the numerical solution of the dynamics equations for a viscous heat-conducting compressible gas by the method of adaptive viscosity on unstructured tetrahedral meshes. A combination of the MacCormack method and the Lax-Wendroff method allows one to monotonize the difference scheme using the method of frozen coefficients. The numerical results are in good agreement with experimental data.

Modified Method of Adaptive Artificial Viscosity for Solution of Gas Dynamics Problems on Parallel Computer Systems

A modification of the adaptive artificial viscosity (AAV) method is considered. This modification is based on one stage time approximation and is adopted to calculation of gasdynamics problems on unstructured grids with an arbitrary type of grid elements. The proposed numerical method has simplified logic, better performance and parallel efficiency compared to the implementation of the original AAV method. Computer experiments evidence the robustness and convergence of the method to difference solution.