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TVD Finite Element Scheme for Hyperbolic Systems of Conservation Laws
Department of Mathematical Information Engineering, College of Industrial Technology, Nihon University, Chiba 275-8575, Japan.
Computer Modeling in Engineering & Sciences 2010, 69(3), 281-306. https://doi.org/10.3970/cmes.2010.069.281
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A finite element scheme based on the concept of TVD (total variation diminishing) with a flux-limiter for the hyperbolic systems of conservation laws is presented. The numerical flux is formulated effectively by the weighted integral form using exponential weighting functions. The TVD finite element scheme is applied to a Riemann problem, namely the shock-tube problem, for the Euler system of equations. Numerical results demonstrate the workability and the validity of the present approach through comparison with the exact solutions.Keywords
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APA Style
Kakuda, K., Seki, A., Yamauchi, Y. (2010). TVD finite element scheme for hyperbolic systems of conservation laws. Computer Modeling in Engineering & Sciences, 69(3), 281-306. https://doi.org/10.3970/cmes.2010.069.281
Vancouver Style
Kakuda K, Seki A, Yamauchi Y. TVD finite element scheme for hyperbolic systems of conservation laws. Comput Model Eng Sci. 2010;69(3):281-306 https://doi.org/10.3970/cmes.2010.069.281
IEEE Style
K. Kakuda, A. Seki, and Y. Yamauchi, “TVD Finite Element Scheme for Hyperbolic Systems of Conservation Laws,” Comput. Model. Eng. Sci., vol. 69, no. 3, pp. 281-306, 2010. https://doi.org/10.3970/cmes.2010.069.281
Copyright © 2010 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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