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Solution of burgers' equation using a local-rbf meshless method

Hosseini, B ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1080/15502287.2010.540303
  3. Publisher: 2011
  4. Abstract:
  5. A local radial basis function (RBF) meshless method is applied for solution of the Burgers' equation with different initial and boundary conditions of various complexities. Local-RBF collocation is employed for discretization in space, whilst the unsteady term is handled via a simple explicit time discretization. Moreover, in case of non-smooth initial conditions with high Reynolds numbers, a treatment is proposed for inability of local-RBF methods to solve such problems. The scheme is validated over a variety of benchmark problems and very good agreement is found with existing analytical and numerical solutions
  6. Keywords:
  7. Analytical and numerical solutions ; Bench-mark problems ; Burgers' equations ; Discretizations ; High Reynolds number ; Initial conditions ; Local radial basis function ; Mesh-less methods ; Meshless ; Non-smooth ; Radial basis functions ; Step-like Initial Conditions ; Time discretization ; Reynolds number ; Shock waves ; Radial basis function networks
  8. Source: International Journal of Computational Methods in Engineering Science and Mechanics ; Volume 12, Issue 1 , Feb , 2011 , Pages 44-58 ; 15502287 (ISSN)
  9. URL: http://www.tandfonline.com/doi/abs/10.1080/15502287.2010.540303