Proceedings ArticleDOI
A 3-D Chimera Grid Embedding Technique
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TLDR
A three-dimensional (3-D) chimera grid-embedding technique that simplifies the construction of computational grids about complex geometries by solution of the Euler equations for the transonic flow about a wing/body, wing/ body/tail, and a configuration of three ellipsoidal bodies is described.Abstract:
A three-dimensional (3-D) chimera grid-embedding technique is described. The technique simplifies the construction of computational grids about complex geometries. The method subdivides the physical domain into regions which can accommodate easily generated grids. Communication among the grids is accomplished by interpolation of the dependent variables at grid boundaries. The procedures for constructing the composite mesh and the associated data structures are described. The method is demonstrated by solution of the Euler equations for the transonic flow about a wing/body, wing/body/tail, and a configuration of three ellipsoidal bodies.read more
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Book
Computational Fluid Dynamics: Principles and Applications Ed. 3
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References
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Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes
TL;DR: In this paper, a new combination of a finite volume discretization in conjunction with carefully designed dissipative terms of third order, and a Runge Kutta time stepping scheme, is shown to yield an effective method for solving the Euler equations in arbitrary geometric domains.
Journal ArticleDOI
Boundary-fitted coordinate systems for numerical solution of partial differential equations—A review
TL;DR: A comprehensive review of methods of numerically generating curvilinear coordinate systems with coordinate lines coincident with all boundary segments is given in this article, along with a general mathematical framework and error analysis common to such coordinate systems.
A chimera grid scheme
TL;DR: Computational tests in two dimensions indicate that the use of multiple overset grids can simplify the task of grid generation without an adverse effect on flow-field algorithms and computer code complexity.
On one-dimensional stretching functions for finite-difference calculations. [computational fluid dynamics]
TL;DR: In this paper, the class of one-dimensional stretching functions used in finite-difference calculations is studied for solutions containing a highly localized region of rapid variation, simple criteria for a stretching function are derived using a truncation error analysis.
Journal ArticleDOI
On One-Dimensional Stretching Functions for Finite-Difference Calculations
TL;DR: The class of one-dimensional stretching functions used in finite-difference calculations is studied in this paper, for solutions containing a highly localized region of rapid variation, simple criteria for a stretching function are derived using a truncation error analysis.
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