Author: Michael J. Bockelie
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722038182
Category :
Languages : en
Pages : 24

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A time accurate, general purpose, adaptive grid method is developed that is suitable for multidimensional steady and unsteady numerical simulations. The grid point movement is performed in a manner that generates smooth grids which resolve the severe solution gradients and the sharp transitions in the solution gradients. The temporal coupling of the adaptive grid and the PDE solver is performed with a grid prediction correction method that is simple to implement and ensures the time accuracy of the grid. Time accurate solutions of the 2-D Euler equations for an unsteady shock vortex interaction demonstrate the ability of the adaptive method to accurately adapt the grid to multiple solution features. Bockelie, Michael J. and Eiseman, Peter R. Langley Research Center AF-AFOSR-0307-86; NAG1-427; RTOP 505-90-21-02...

Author: National Aeronautics and Space Adm Nasa
Publisher:
ISBN: 9781729146187
Category :
Languages : en
Pages : 26

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Book Description
A time accurate, general purpose, adaptive grid method is developed that is suitable for multidimensional steady and unsteady numerical simulations. The grid point movement is performed in a manner that generates smooth grids which resolve the severe solution gradients and the sharp transitions in the solution gradients. The temporal coupling of the adaptive grid and the PDE solver is performed with a grid prediction correction method that is simple to implement and ensures the time accuracy of the grid. Time accurate solutions of the 2-D Euler equations for an unsteady shock vortex interaction demonstrate the ability of the adaptive method to accurately adapt the grid to multiple solution features. Bockelie, Michael J. and Eiseman, Peter R. Langley Research Center AF-AFOSR-0307-86; NAG1-427; RTOP 505-90-21-02

Author: Steven Charles Caruso
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 230

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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.

Author: Joseph Oliger
Publisher:
ISBN:
Category : Computational grids (Computer systems)
Languages : en
Pages : 32

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Abstract: "Component adaptive grid (CAG) methods for solving hyperbolic partial differential equations (PDE's) are discussed in this paper. Applying recent stability results for a class of numerical methods on uniform grids, the convergence of these methods for linear problems on component adaptive grids is established here. Furthermore, the computational error can be estimated on CAG's using the stability results. Using these estimates, the error can be controlled on CAG's. Thus, the solution can be computed efficiently on CAG's within a given error tolerance. Computational results for time dependent linear problems in one and two space dimensions are presented."

Author: Michael J. Bockelie
Publisher:
ISBN:
Category : Numerical grid generation (Numerical analysis)
Languages : en
Pages : 24

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Author: Vladimir D. Liseikin
Publisher: Springer Science & Business Media
ISBN: 3662039494
Category : Science
Languages : en
Pages : 363

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This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.

Author: United States. National Aeronautics and Space Administration
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 380

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Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 24

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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 428

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