کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
519924 867689 2014 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Runge–Kutta central discontinuous Galerkin BGK method for the Navier–Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Runge–Kutta central discontinuous Galerkin BGK method for the Navier–Stokes equations
چکیده انگلیسی

In this paper, we propose a Runge–Kutta (RK) central discontinuous Galerkin (CDG) gas-kinetic BGK method for the Navier–Stokes equations. The proposed method is based on the CDG method defined on two sets of overlapping meshes to avoid discontinuous solutions at cell interfaces, as well as the gas-kinetic BGK model to evaluate fluxes for both convection and diffusion terms. Redundant representation of the numerical solution in the CDG method offers great convenience in the design of gas-kinetic BGK fluxes. Specifically, the evaluation of fluxes at cell interfaces of one set of computational mesh is right inside the cells of the staggered mesh, hence the corresponding particle distribution function for flux evaluation is much simpler than that in existing gas-kinetic BGK methods. As a central scheme, the proposed CDG–BGK has doubled the memory requirement as the corresponding DG scheme; on the other hand, for the convection part, the CFL time step constraint of the CDG method for numerical stability is relatively large compared with that for the DG method. Numerical boundary conditions have to be treated with special care. Numerical examples for 1D and 2D viscous flow simulations are presented to validate the accuracy and robustness of the proposed RK CDG–BGK method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 274, 1 October 2014, Pages 592–610
نویسندگان
, , , ,