1. FEMALE-Finite Element Method for Arbitrary Lagrangian and Eulerian elements (II. Basic Algorithm)

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概要

• 論文の詳細を見る

• A hyperbolic system of nonlinear partial differential equations includes the solutions which have discontinuities as in the Riemann problem. It is well known that the numerical oscilation occurs when the finite difference method like the two-step Lax-Wendroff method is applied to this problem. To suppress this type of oscilation, we introduce the numerical diffusion which is contained in the numerical scheme implicitly, or the artificial viscosity. However, the discontinuities disappear because of numerical diffusion introduced, and then an accuracy of computation becomes poor. We have proposed the FEMALE method based on the finite element method with no numerical diffusion to solve the hyperbolic equations with no physical diffusion. In this summary, we describe the outline of FEMALE method, the optimum decision of nodal velocity and the extention to the parabolic equations.

• 核融合科学研究所の論文

著者

• Kawakami I.

  Dept. Life Sci., Himeji Inst. Tech.

• Kawakami I

  Department Of Life Science Graduate School Of Life Science University Of Hyogo

• Aizawa M.

  Atomic Energy Research Institute Nihon University

• Kawakami I.

  Atomic Energy Research Institute Nihon University

• Kawakami I.

  Dept. Life Sci. Himeji Inst. Tech.

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