Hermitian Characteristic Galerkin Method for Advection Diffusion Problems
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- MARUOKA Akira
- Hachinohe National College of Technology
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- OBONAI Keita
- Hachinohe National College of Technology
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- OKUMURA Hiroshi
- University of Toyama
Bibliographic Information
- Other Title
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- 移流拡散問題におけるHermitian Characteristic Galerkin法
Abstract
A new characteristic/Lagrange Galerkin finite element method using an Hermitian type element, named Hermitian characteristic Galerkin (HCG) method, is proposed for solving advection diffusion problems. Using the Hermitian type element can improve accuracy of the characteristic Galerkin finite element method. A composed function for each element included in the formulation of the characteristic Galerkin finite element method can approximate a polynomial function by constructing the Hermitian type element in upwind position, and it is possible to perform integration of the term included in the composed function analytically. The 10-DOF Hermitian type triangular element which consists of cubic polynomials given by function values and first order derivatives on each vertex and a function value on barycenter of a triangle is used in the two dimensional calculation. Two numerical experiments for the two dimensional advection diffusion equation are investigated and the results show the effectiveness of the present method by evaluating the computational accuracy.
Journal
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- Transactions of the Japan Society for Computational Engineering and Science
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Transactions of the Japan Society for Computational Engineering and Science 2008 (0), 20080017-20080017, 2008-07-01
JAPAN SOCIETY FOR COMPUTATIONAL ENGINEERING AND SCIENCE
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Details 詳細情報について
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- CRID
- 1390006994048649728
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- NII Article ID
- 130008056207
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- ISSN
- 13478826
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- Text Lang
- ja
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- Data Source
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- JaLC
- CiNii Articles
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- Abstract License Flag
- Disallowed