Development of two-dimensional magneto-hydrodynamic simulation code in cylindrical geometry using the discontinuous Galerkin finite element method

摘要

Discontinuous Galerkin finite element method (DG-FEM) is applied for modelling magneto-hydrodynamics of electrically discharging plasma channel (DPC). For the exact application of a material model for DPC and surrounding media, the Lagrangian forms of equations are formulated in cylindrical geometry. This paper presents procedures of formulation and development of two-dimensional simulation code which includes prescribed features with details. To simplify algorithms, element-matrix relations are obtained analytically using linear triangular element and linear shape function. Numerical schemes and sequence of calculation are also discussed with a numerical result to demonstrate the feasibility of proposed method.