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Volume 12, Issue 4
Calculations of Riemann Problems for 2-D Scalar Conservation Laws by Second Order Accurate MmB Scheme

Shu-Li Yang

J. Comp. Math., 12 (1994), pp. 339-351.

Published online: 1994-12

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  • Abstract

Numerical solutions of Riemann problems for 2-D scalar conservation law are given by a second order accurate MmB (local Meximum-minimum Bounds preserving) scheme which is non-splitting. The numerical computations show that the scheme has high resolution and non-oscillatory properties. The results are completely in accordance with the theoretical solutions and all cases are distinguished efficiently.

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@Article{JCM-12-339, author = {Yang , Shu-Li}, title = {Calculations of Riemann Problems for 2-D Scalar Conservation Laws by Second Order Accurate MmB Scheme}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {4}, pages = {339--351}, abstract = {

Numerical solutions of Riemann problems for 2-D scalar conservation law are given by a second order accurate MmB (local Meximum-minimum Bounds preserving) scheme which is non-splitting. The numerical computations show that the scheme has high resolution and non-oscillatory properties. The results are completely in accordance with the theoretical solutions and all cases are distinguished efficiently.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10216.html} }
TY - JOUR T1 - Calculations of Riemann Problems for 2-D Scalar Conservation Laws by Second Order Accurate MmB Scheme AU - Yang , Shu-Li JO - Journal of Computational Mathematics VL - 4 SP - 339 EP - 351 PY - 1994 DA - 1994/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10216.html KW - AB -

Numerical solutions of Riemann problems for 2-D scalar conservation law are given by a second order accurate MmB (local Meximum-minimum Bounds preserving) scheme which is non-splitting. The numerical computations show that the scheme has high resolution and non-oscillatory properties. The results are completely in accordance with the theoretical solutions and all cases are distinguished efficiently.

Yang , Shu-Li. (1994). Calculations of Riemann Problems for 2-D Scalar Conservation Laws by Second Order Accurate MmB Scheme. Journal of Computational Mathematics. 12 (4). 339-351. doi:
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