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Zbl 1213.76145
Sheu, Tony W.H.; Chiao, Chenpeng; Huang, Chinlong
Development of a particle interaction kernel function in MPS method for simulating incompressible free surface flow. (English)
[J] J. Appl. Math. 2011, Article ID 793653, 16 p. (2011). ISSN 1110-757X; ISSN 1687-0042/e

Summary: We aim to derive a kernel function that accounts for the interaction among moving particles within the framework of particle method. To predict a computationally more accurate moving particle solution for the Navier-Stokes equations, kernel function is a key to success in the development of interaction model. Since the smoothed quantity of a scalar or a vector at a spatial location is mathematically identical to its collocated value provided that the kernel function is chosen to be the Dirac delta function, our guideline is to derive the kernel function that is closer to the delta function as much as possible. The proposed particle interaction model using the newly developed kernel function will be validated through the two investigated Navier-Stokes problems which have either the semianalytical or the benchmark solutions.

MSC 2000:: *76M25 Other numerical methods
76B07 Free-surface potential flows

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Zentralblatt MATH Berlin [Germany]