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Five-point positive meshless scheme for hyperbolic conservation laws

✍ Scribed by Li Yin; Longjun Shen; Guixia Lv

Publisher
Wiley (John Wiley & Sons)
Year
2011
Tongue
English
Weight
396 KB
Volume
27
Category
Article
ISSN
2040-7939

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✦ Synopsis

We consider a five-point positive meshless collocation method for the numerical solutions of transport process described by hyperbolic conservation laws. This positive meshless method uses the five-point scheme approximation for derivatives, and an artificial dissipation term to ensure the positivity of coefficients. The numerical examples confirm the good performance of the present five-point positive meshless scheme.

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