A mixed volume grid approach for the Euler and Navier-Stokes equations

Coirier, William J.; Jorgenson, Philip C. E.

doi:10.2514/6.1996-762

Cited by 26 publications

(23 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An obvious approach to nodal gradient computation is to use Green-Gauss integration over the primal mesh which has already been analysed by Coirier and Jorgenson [38]. Using the ''centroidal path", an integration path over the forming nodes of both elements containing the interface leads to a rotated Laplacian with decoupled face neighbours, which gives rise to a checker-board instability and is inconsistent for meshes with strongly varying mesh size (stretching).…”

Section: Approximated Finite-element Reconstruction Approachmentioning

confidence: 99%

Discretisation of diffusive fluxes on hybrid grids

Puigt

Auffray²,

Müller

2010

Journal of Computational Physics

View full text Add to dashboard Cite

Section: Approximated Finite-element Reconstruction Approachmentioning

confidence: 99%

Discretisation of diffusive fluxes on hybrid grids

Puigt

Auffray²,

Müller

2010

Journal of Computational Physics

View full text Add to dashboard Cite

“…There have developed many kinds of hybrid grids such as, Prism/Tetrahedron [1], Prism/Tetrahedron/Pyramid [2], Tetrahedron/Adaptive Cartesian [3], Tetrahedron/Adaptive Cartesian/Prism [4], Prism/Tetrahedron/Hexahedron [5]. And using moving grids to simulate moving boundary flow problem in 2 dimension (D) or small swing are also coming forth, as is used to model the wing surging and swinging [6] [7] [8], the separation for wing and its store in 2-D [6]and deflecting control-surface [9].…”

Section: Introductionmentioning

confidence: 99%

Applying dynamic hybrid grids method to simulate AUV docking with a tube

2010

The 2010 IEEE International Conference on Information and Automation

View full text Add to dashboard Cite

It is necessary for keeping Autonomous Underwater Vehicle (AUV) on station to realize AUV docking underwater for AUV charging, data transferring and checking. While the flow field in AUV underwater docking is coupled caused by multi-body moving, which is a difficult problem for Computational Fluid Dynamics (CFD) to solve. Hybrid dynamic grids method has been presented in simulating AUV docking with a torpedo shaped tube. A mesh topology including hybrid grids domain is built which including hexahedral, prismatic and tetrahedral grids. With the motion of AUV, dynamic layering method is used to update mesh. Compared with spring analogy and local re-meshing method, Dynamic layering method significantly improves the robustness for problems with large motions of bodies without much penalty in CPU time during remeshing. The numerical result gets pressure contours at different time, and the resistant coefficient of AUV during docking processes for more than 10 meters, the resistance when AUV at unbounded domain solved by this method agrees well with that of coordinate transformation method. This research is not only helpful for improving control resolution in AUV underwater docking with tube, but also get a method to solve the hydrodynamics for multi-body moving relatively, which is popular in ocean engineering.

show abstract

“…Wall Surface Structured Grids [1] Wall Surface Cartesian Grids [2] Triangle Grids [3] Structured Grids [1] Wall Surface Cartesian Grids [2] Structured Grids [1] Wall Surface (b) Figure 3. Illustration for generated scheme of hybrid grids: (a) hybrid scheme 1; and (b) hybrid scheme 2.…”

Section: (A)mentioning

confidence: 99%

“…One of the greatest obstacles to widespread use of computational fluid dynamic (CFD) methods is the time required to create the grids used by the flow field solver [1][2][3]. For a grid-based approach, A quadtree-based data structure is ideally suited for the two-dimensional Cartesian grid scheme.…”

Section: Introductionmentioning

confidence: 99%

An unstructured/structured multi‐layer hybrid grid method and its application

Sang

2006

Numerical Methods in Fluids

View full text Add to dashboard Cite

SUMMARYA multi-layer hybrid grid method is constructed to simulate complex flow field around 2-D and 3-D configuration. The method combines Cartesian grids with structured grids and triangular meshes to provide great flexibility in discretizing a domain. We generate the body-fitted structured grids near the wall surface and the Cartesian grids for the far field. In addition, we regard the triangular meshes as an adhesive to link each grid part. Coupled with a tree data structure, the Cartesian grid is generated automatically through a cell-cutting algorithm. The grid merging methodology is discussed, which can smooth hybrid grids and improve the quality of the grids. A cell-centred finite volume flow solver has been developed in combination with a dual-time stepping scheme. The flow solver supports arbitrary control volume cells. Both inviscid and viscous flows are computed by solving the Euler and Navier-Stokes equations. The above methods and algorithms have been validated on some test cases. Computed results are presented and compared with experimental data.

show abstract

A mixed volume grid approach for the Euler and Navier-Stokes equations

Cited by 26 publications

References 14 publications

Discretisation of diffusive fluxes on hybrid grids

Discretisation of diffusive fluxes on hybrid grids

Applying dynamic hybrid grids method to simulate AUV docking with a tube

An unstructured/structured multi‐layer hybrid grid method and its application

Contact Info

Product

Resources

About