Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.cma.2004.07.008
Title: An upwind local RBF-DQ method for simulation of inviscid compressible flows
Authors: Shu, C. 
Ding, H.
Chen, H.Q.
Wang, T.G.
Keywords: Inviscid compressible flow
Meshless method
Radial basis function
Upwind scheme
Issue Date: 20-May-2005
Source: Shu, C., Ding, H., Chen, H.Q., Wang, T.G. (2005-05-20). An upwind local RBF-DQ method for simulation of inviscid compressible flows. Computer Methods in Applied Mechanics and Engineering 194 (18-20) : 2001-2017. ScholarBank@NUS Repository. https://doi.org/10.1016/j.cma.2004.07.008
Abstract: In this paper, an upwind local radial basis function-based differential quadrature (RBF-DQ) scheme is presented for simulation of inviscid compressible flows with shock wave. RBF-DQ is a naturally mesh-free method. The scheme consists of two parts. The first part is to use the local RBF-DQ method to discretize the Euler equation in conservative, differential form on a set of scattered nodes. The second part is to apply the upwind method to evaluate the flux at the mid-point between the reference knot and its supporting knots. The proposed scheme is validated by its application to simulate the supersonic flow in a symmetric, convergent channel and the shock tube problem. The obtained numerical results agree very well with the theoretical data. © 2004 Elsevier B.V. All rights reserved.
Source Title: Computer Methods in Applied Mechanics and Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/59511
ISSN: 00457825
DOI: 10.1016/j.cma.2004.07.008
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