Semi-structured mesh generation for 3D Navier-Stokes calculations

Connell, Stuart; Braaten, Mark E.

doi:10.2514/6.1995-1679

Cited by 18 publications

(10 citation statements)

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“…More often, they are used in the context of Chimera or overlapping approaches 1,2 to simplify the grid generation process for a complex configuration. The difficulty of generating a structured grid for complex geometries and the desire in the engineering community to simulate numerically flows past increasingly complex geometries have fueled interest in the development of unstructured grid methods [3][4][5][6][7] . Unstructured grids provide great flexibility in dealing with the complex geometries encountered in practice and offer a natural framework for solution-adaptive mesh refinement.…”

Section: Introductionmentioning

confidence: 99%

A Finite Volume Method Based on WENO Reconstruction for Compressible Flows on Hybrid Grids

Luo

2014

52nd Aerospace Sciences Meeting

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A cell-centered finite volume method based on a WENO reconstruction, termed WENO(P0P1) in this paper, is presented for solving the compressible Navier-Stokes equations on 3D hybrid grids. This new WENO(P0P1) method is designed not only to achieve high-order accuracy but also to ensure non-linear stability of the finite volume method. The discretization of the viscous and heat fluxes is carried out using a modified averaging of gradients. The spatially discretized governing equations are integrated in time using a linearized implicit scheme. A fast, matrix-free implicit method, GMRES+LU-SGS, is then applied to solve the resultant system of linear equations. The parallelization of the WENO(P0P1) method is based on domain partitioning and Single Program Multiple Data (SPMD) parallel programming model using Message-Passing-Interface (MPI) programming paradigm for distributed memory parallel computing architectures. The developed WENO(P0P1) method is used to compute a variety of flow problems on hybrid grids to demonstrate its accuracy, efficiency, robustness, and versatility. The numerical experiments indicate that this WENO(P0P1) method is able to maintain high accuracy for smooth flows and obtain oscillation-free solutions in the vicinity of discontinuities, and outperforms a van Albada limiter-based finite volume method.

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Section: Introductionmentioning

confidence: 99%

A Finite Volume Method Based on WENO Reconstruction for Compressible Flows on Hybrid Grids

Luo

2014

52nd Aerospace Sciences Meeting

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“…More often, they are used in the context of Chimera or overlapping approaches [1,2] to simplify the grid generation process for a complex configuration. The difficulty of generating a structured grid for complex geometries and the desire in the engineering community to simulate numerically flows past increasingly complex geometries have fueled interest in the development of unstructured grid methods [3][4][5][6][7]. Unstructured grids provide great flexibility in dealing with the complex geometries encountered in practice and offer a natural framework for solution-adaptive mesh refinement.…”

mentioning

confidence: 99%

Hybrid Grid Generation Method for Complex Geometries

2010

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A hybrid mesh generation method is described to discretize complex geometries. The idea behind this hybrid method is to combine the orthogonality and directionality of a structured grid, the efficiency and simplicity of a Cartesian grid, and the flexibility and ease of an unstructured grid in an attempt to develop an automatic, robust, and fast hybrid mesh generation method for configurations of engineering interest. A semistructured quadrilateral grid is first generated on the wetted surfaces. A background Cartesian grid, covering the domain of interest, is then constructed using a Quadtree-based Cartesian Method. Those Cartesian cells overlapping with the semistructured grids or locating outside of computational domain are then removed using an Alternating Digital Tree method. Finally, an unstructured grid generation method is used to generate unstructured triangular cells to fill all empty regions in the domain as a result of the trimming process. The automatic placement of sources at the geometrical irregularities is developed to render these regions isotropic, thus effectively overcoming the difficulty of generating highly stretched good-quality elements in these regions. The self-dividing of the exposed semistructured elements with high aspect ratio and the adaptation of the background mesh using the cell size information from the exposed semistructured elements for generating Cartesian cells are introduced to improve the quality of unstructured triangular elements and guarantee the success of the unstructured grid generation in the void regions. The developed hybrid grid generation method is used to generate a hybrid grid for a number of test cases, demonstrating its ability and robustness to mesh complex configurations.

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“…Upper boundary of prismatic/ The flow about a wall/cylinder combination is computed tetrahedral mesh using the mixed volume grid approach. The mesh was generated by the prismatic/te_ahedral mesh generator developed by Connell et al [8], for which the solver provides an input data type. Flow conditions correspond to a Reynolds number based upon cylinder diameter of Re = 50 and a freestream Mach number of M_ = 0.25.…”

Section: Dmentioning

confidence: 99%

“…The grid data type might also be useful for parallel computing upon prismatic!tetrahedral meshes the computations, by holding the spatially decomposed approachis used to compute the laminarflow about a data. rightcircular cylinderupon a flatpIateusing a gridgeneratedbyConnell et al [8].…”

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confidence: 99%