A unified conservative zonal interface treatment for arbitrarily patched and overlapped meshes

Wang, Z.; Yang, Hong

doi:10.2514/6.1994-320

Cited by 16 publications

(12 citation statements)

References 6 publications

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“…Flow fields computed using overlapping grids compare well with single grid solutions of comparable resolution. A small error in mass flux is observed similar to traditional finite volume and finite difference Chimera schemes that rely on a discrete interpolation of the conservative variables [24][25][26][27][28]. However, calculations of inviscid channel flow with a smooth bump are used here to demonstrate that the DG-Chimera scheme maintains the proper order of accuracy despite these errors.…”

Section: Introductionmentioning

confidence: 83%

A Discontinuous Galerkin Chimera scheme

et al. 2014

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a b s t r a c tThe Chimera overset method is a powerful technique for modeling fluid flow associated with complex engineering problems using structured meshes. The use of structured meshes has enabled engineers to employ a number of high-order schemes, such as the WENO and compact differencing schemes. However, the large stencil associated with these schemes can significantly complicate the inter-grid communication scheme and hole cutting procedures. This paper demonstrates a methodology for using the Discontinuous Galerkin (DG) scheme with Chimera overset meshes. The small stencil of the DG scheme makes it particularly suitable for Chimera meshes as it simplifies the inter-grid communication scheme as well as hole cutting procedures. The DG-Chimera scheme does not require a donor interpolation method with a large stencil because the DG scheme represents the solution as cell local polynomials. The DG-Chimera method also does not require the use of fringe points to maintain the interior stencil across inter-grid boundaries. Thus, inter-grid communication can be established as long as the receiving boundary is enclosed by or abuts the donor mesh. This makes the inter-grid communication procedure applicable to both Chimera and zonal meshes. Details of the DG-Chimera scheme are presented, and the method is demonstrated on a set of two-dimensional inviscid flow problems.Published by Elsevier Ltd.

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Section: Introductionmentioning

confidence: 83%

A Discontinuous Galerkin Chimera scheme

et al. 2014

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“…Boundary conditions on the interpolated hole boundary and interpolated outer boundary are supplied from the grid in which the boundaries are contained. There are currently several approaches (e.g., [2,3,7,29,36,44]) to obtain data for these conditions, but all involve some form of interpolation of data in a grid. Generally they can be grouped into two categories: nonconservative and conservative interpolations, which are discussed in the following.…”

Section: Data Communicationmentioning

confidence: 99%

“…Also, this error can be strongly affected by the underlying flux schemes, such as central vs. upwind schemes. It must be noted that conservative interpolation schemes in two dimensions [29,44] have been shown to be relatively easy to implement. Extension to three dimensions for irregular polyhedra, however, is not all that straightforward.…”

Section: Introductionmentioning

confidence: 99%

A novel approach of three-dimensional hybrid grid methodology: Part 1. Grid generation

Zheng

Liou

2003

Computer Methods in Applied Mechanics and Engineering

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We propose a novel approach of three-dimensional hybrid grid methodology, the DRAGON grid method in the three-dimensional space. The DRAGON grid is created by means of a Direct Replacement of Arbitrary Grid Overlapping by Nonstructured grid, and is structured-grid dominated with unstructured grids in small regions. The DRAGON grid scheme is an adaptation to the Chimera thinking. It is capable of preserving the advantageous features of both the structured and unstructured grids, and eliminates/minimizes their shortcomings. In the present paper, we describe essential and programming aspects, and challenges of the three-dimensional DRAGON grid method, with respect to grid generation. We demonstrate the capability of generating computational grids for multi-components complex configurations.

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“…A conservativemethod at the interfaces among chimera meshes that satis es the conservation laws was developed by Wang and Yang. 8 A detailed discussion of the approaches for handling these interior boundary conditions can be found in Ref. 9.…”

Section: Chimera Techniquementioning

confidence: 99%

Chimera Simulations of Supersonic Flows over a Complex Satellite Launcher Configuration

Basso

Antunes

Azevedo

2003

Journal of Spacecraft and Rockets

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An effort is underway to develop a chimera ow simulation code capable of handling the external aerodynamics of general launch vehicle con gurations. Aerodynamic results are presented referring to inviscid, laminar, and turbulent viscous simulations of the rst Brazilian satellite launch vehicle during its rst-stage ight. The nite difference method is applied to the governing equations, written in conservation-law form for general body conforming curvilinear coordinates. The spatial discretization is accomplished with a central difference scheme in which arti cial dissipation terms, based on a scalar, nonisotropic model, are added to the numerical scheme to maintain stability. The time-marching process is accomplished with a ve-stage, second-order accurate, RungeKutta scheme. Studies of mesh re nement are also presented as a part of the validation effort, with the objective of providing a certi ed ow simulation capability for actual engineering work. Nomenclatureand N G v = viscous ux vectors e = total energy per unit volume J = Jacobian of the transformation M = Mach number p = pressure N Q = vector of conserved variables Re = Reynolds number U; V , and W = contravariant velocity components u; v, and w = Cartesian velocity components ® = angle of attack°= ratio of speci c heats ± = standard three-point central difference operators N ± = midpoint central difference operators ½ = density Subscript 1 = freestream quantities

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A unified conservative zonal interface treatment for arbitrarily patched and overlapped meshes

Cited by 16 publications

References 6 publications

A Discontinuous Galerkin Chimera scheme

A Discontinuous Galerkin Chimera scheme

A novel approach of three-dimensional hybrid grid methodology: Part 1. Grid generation

Chimera Simulations of Supersonic Flows over a Complex Satellite Launcher Configuration

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