A high-order radial basis function (RBF) Leray projection method for the solution of the incompressible unsteady Stokes equations
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- 作者：Edward J. Fuseliera ; efuselie@highpoint.edu" class="auth_mail" title="E-mail the corresponding author ; Varun Shankar ; b ; vshankar@math.utah.edu" class="auth_mail" title="E-mail the corresponding author ; Grady B. Wrightc ; gradywright@boisestate.edu" class="auth_mail" title="E-mail the corresponding author
- 关键词：Radial basis functions ; Helmholtz&ndash ; Hodge decomposition ; Leray projection ; Projection methods ; High-order ; Irregular domains ; Time-dependent Stokes ; Method of lines
- 刊名：Computers and Fluids
- 出版年：2016
- 出版时间：10 April 2016
- 年：2016
- 卷：128
- 期：Complete
- 页码：41-52
- 全文大小：1563 K
文摘
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We present a pressure-free Leray projection method based on RBFs.
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Our method works on scattered nodes on irregular domains.
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Only velocity boundary conditions are required.
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Our method exhibits arbitrary orders of convergence in time.
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Our method exhibits orders 5–6 convergence in space.