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Multigrid Methods for Flow Transition in Three-Dimensional Boundary Layers with Surface Roughness

Multigrid Methods for Flow Transition in Three-Dimensional Boundary Layers with Surface Roughness


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About the Book

The efficient multilevel adaptive method has been successfully applied to perform direct numerical simulations (DNS) of flow transition in 3-D channels and 3-D boundary layers with 2-D and 3-D isolated and distributed roughness in a curvilinear coordinate system. A fourth-order finite difference technique on stretched and staggered grids, a fully-implicit time marching scheme, a semi-coarsening multigrid method associated with line distributive relaxation scheme, and an improved outflow boundary-condition treatment, which needs only a very short buffer domain to damp all order-one wave reflections, are developed. These approaches make the multigrid DNS code very accurate and efficient. This allows us not only to be able to do spatial DNS for the 3-D channel and flat plate at low computational costs, but also to do spatial DNS for transition in the 3-D boundary layer with 3-D single and multiple roughness elements, which would have extremely high computational costs with conventional methods. Numerical results show good agreement with the linear stability theory, the secondary instability theory, and a number of laboratory experiments. The contribution of isolated and distributed roughness to transition is analyzed. Liu, Chaoqun and Liu, Zhining and Mccormick, Steve Unspecified Center BASE FLOW; BOUNDARY LAYER TRANSITION; CHANNEL FLOW; COMPUTATIONAL FLUID DYNAMICS; GRID GENERATION (MATHEMATICS); MULTIGRID METHODS; SURFACE ROUGHNESS; THREE DIMENSIONAL BOUNDARY LAYER; BOUNDARY CONDITIONS; FINITE DIFFERENCE THEORY; NAVIER-STOKES EQUATION; SPHERICAL COORDINATES; THREE DIMENSIONAL FLOW; TIME MARCHING; TWO DIMENSIONAL FLOW...


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Product Details
  • ISBN-13: 9781723219436
  • Publisher: Createspace Independent Publishing Platform
  • Publisher Imprint: Createspace Independent Publishing Platform
  • Height: 279 mm
  • No of Pages: 154
  • Spine Width: 8 mm
  • Width: 216 mm
  • ISBN-10: 1723219436
  • Publisher Date: 18 Jul 2018
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 372 gr


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