Praveen, C and Deshpande, SM (2007) Kinetic meshless method for compressible flows. In: International Journal for Numerical Methods in Fluids, 55 (11). pp. 1059-1089.
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We present a grid-free or meshless approximation called the kinetic meshless method (KMM), for the numerical solution of hyperbolic conservation laws that can be obtained by taking moments of a Boltzmanntype transport equation. The meshless formulation requires the domain discretization to have very little topological information; a distribution of points in the domain together with local connectivity information is sufficient. For each node, the connectivity consists of a set of nearby nodes which are used to evaluate the spatial derivatives appearing in the conservation law. The derivatives are obtained using a modified form of the least-squares approximation. The method is applied to the Euler equations for inviscid flow and results are presented for some 2-D problems. The ability of the new scheme to accurately compute inviscid flows is clearly demonstrated, including good shock capturing ability. Comparisons with other grid-free methods are made showing some advantages of the current approach.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Wiley & Sons.|
|Keywords:||meshless method;kinetic scheme;least squares;Euler equations|
|Department/Centre:||Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)|
|Date Deposited:||09 Jun 2008|
|Last Modified:||19 Sep 2010 04:45|
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