|Article title||DISCONTINIUOS GALERKIN NUMERICAL SCHEME FOR MASS TRANSFER PROCESS WITH POINT SOURCE|
|Section||SECTION I. MATHEMATICAL MODELLING OF AERO- AND HYDRODYNAMIC PROBLEMS|
|Month, Year||06, 2012 @en|
|Abstract||Variational formulations for convection-diffusion equations based on discontinuous Galerkin (DG-method) approximation method is offered. Application of the discontinuous Galerkin method for the convection-diffusion problems solution substantiated properties of local conservatives of DG-method, as well as its potential for use h and ph-strategies. These character- istics of the method can avoid unphysical oscillations near the boundary and internal layers. The paper investigates the use of different orders bases, which allows to develop a strategy for constructing adaptive grid. Was shown on the class of model problems that the use of lifting operator significantly increased the stability of the computational scheme.|
|Keywords||Discontinuous Galerkin method; convection-diffusion-reaction problems; operator of stabilization.|
|References||1. Arnold D.N., Brezzi F., Cocburn B., Marini D. Unified analysis of discontinuous Galerkin methods for elliptic problems // SIAM J. Numer. Anal. – 2002. – Vol. .39, № 5. – P. 1749-1779.
2. Cocburn B. Discontinuous Galerkin methods for convection-dominated problems // In High – Order Methods for Computational Physics. – 1999. Vol. 9. – P. 69-224.
3. Baumann C.E.and Oden J.T. A discontinuous hp finite element method for convectiondiffusion problems // Comput. Methods Appl. Mech. Eng. – 1999. – № 175. – P. 311-341.