Adaptive Grid Techniques for Elliptic Fluid flow Problems

Adaptive Grid Techniques for Elliptic Fluid flow Problems


  • Release: 1985
  • Publisher:
  • Price: FREE
  • File: PDF, 380 page
  • ISBN: STANFORD:36105046339276
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The adaptive grid techniques are described for elliptic fluid flow problems. The method is an extension of a local refinement technique developed by Berger for systems of hyperbolic equations. Local refined grids are overlaid on a coarser base grid. Recursive use of this technique allows an arbitrary degree of grid refinement. Two classes of elliptic flows are identified; they are characterized as having strong or weak viscous inviscid interactions. Adaptive solution strategies, active and passive, respectively, are developed for each class. The SIMPLER method is used to solve the steady, laminar, incompressible Navier Stokes equations. Central differencing of the convective terms is implemented with the defect-correction method to stabilize the solution method for all cell Reynolds numbers. Uniform grid calculations are performed for the laminar backstep flow. Richardson estimated solution and truncation errors are compared to accurate estimates of the same quantities for the backstep flow. The solution error is well predicted. The truncation error estimates are less accurate, but the reliably indicate where grid refinement is required. Active adaptive calculations of the backstep are made, using boundary aligned refinement.

Finite Difference Methods in Heat Transfer

Finite Difference Methods in Heat Transfer


  • Release: 2017-07-12
  • Publisher: CRC Press
  • Price: FREE
  • File: PDF, 600 page
  • ISBN: 9781351686990
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Finite Difference Methods in Heat Transfer presents a clear, step-by-step delineation of finite difference methods for solving engineering problems governed by ordinary and partial differential equations, with emphasis on heat transfer applications. The finite difference techniques presented apply to the numerical solution of problems governed by similar differential equations encountered in many other fields. Fundamental concepts are introduced in an easy-to-follow manner. Representative examples illustrate the application of a variety of powerful and widely used finite difference techniques. The physical situations considered include the steady state and transient heat conduction, phase-change involving melting and solidification, steady and transient forced convection inside ducts, free convection over a flat plate, hyperbolic heat conduction, nonlinear diffusion, numerical grid generation techniques, and hybrid numerical-analytic solutions.

NASA SP

NASA SP


  • Release: 1962
  • Publisher:
  • Price: FREE
  • File: PDF, page
  • ISBN: OSU:32435062367115
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Paper

Paper


  • Release: 1996
  • Publisher:
  • Price: FREE
  • File: PDF, page
  • ISBN: UOM:39015035261505
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Computational Fluid Dynamics

Computational Fluid Dynamics


  • Release: 1988
  • Publisher: North Holland
  • Price: FREE
  • File: PDF, 792 page
  • ISBN: STANFORD:36105032425857
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Recorded in this book is recent research on the development of efficient computational techniques and their application to fluid-flow problems of engineering and scientific importance. It contains invited and contributed papers in the following general research areas: Boundary Layer Flow, Combustion and Chemically Reacting Flows, Free Surface Flows, Geophysical Flows, Inviscid Flow, Meteorological Flows, Non-Newtonian Flow, Numerical Methods and Analysis, Porous Media, Separated Flow, Shallow Water Problems, Shock Wave Interactions, Stability and Transition, Supercomputers, Supersonic and Transonic Flow, Thermal Convection, Turbulent Flows and Modelling, Viscous Flow and Vortex Flow.