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## Efficient Cartesian Mesh Approach for Flow Computations around Moving and Deforming Bodies

### Citations

93 |
Minimum Storage Ray-Triangle Intersection”,
- T, Trumbore, et al.
- 1997
(Show Context)
Citation Context ...e as convective flux. Poissonsequation is treated as same as voxel simulation to reduce computational costs. That is to say Neumann boundaryscondition for the staircase wall boundary is used.siL qq =s=-=(12)-=-siR qd dxq ⎟⎠ ⎞⎜⎝ ⎛ −= 1s(13)s( ) ( )[ ]LRLRi qqcqqcf −−+=+ 2 1 21s(14)sFigure 23. Example of Cartesian mesh.sIn case of moving body problem, the convective flux 21+ifsshown by red boundary in figure ... |

67 |
Robust and efficient cartesian mesh generation using for component-based geometry,
- Aftosmis, Berger, et al.
- 1998
(Show Context)
Citation Context ... the flag changesJK_runlength(2) = flag value at (1, 1)sJK_runlength(i) for 3 ≤ i ≤ JK_runlength(1)+2: locations of the flag changesDecoding the one-dimensional array givess( )[ ] 1/1 +−= jniINTEGERks=-=(3)-=-s( ) ( )( )[ ] ( )12/111 −+−−−−= pnpknij jjs(4)sWhere ( )ZINTEGERsis the integer part of real number Z . For the 3Dsfield defined by (j,k,l) shown in figure 14, ( )1)1( 21 −+−+= knniqqii kjs(5)s( ) ( ... |

25 |
Direct Surface Triangulation Using Stereolithography Data
- Ito, Nakahashi
(Show Context)
Citation Context ...myOct;sstruct cell*** cell;s};sstruct oct{sshort intslevel;sstruct cube*scubePr;sstruct oct*soctPr;sstruct cubescube[ 8 ];sstruct cube*sneigh[ 6 ];s};s00s0s00 0 0 0s00 1 1 1s11 1 1 1s11 1 1 1sk (j,k) =-=(1,1)-=-sjsFigure 13. Cell flags andsthe run length data in 2D. bi na ry -tr eesinsy binary-tree in xsFigure 12. Definition of pedigree. American Institute of Aeronautics and Astronauticss7 described by a one... |

25 |
Solution Adaptative Cartesian Grid Methods for Aerodynamic Flows with Complex Geometries
- Aftosmis
- 1997
(Show Context)
Citation Context ...t (1, 1)sJK_runlength(i) for 3 ≤ i ≤ JK_runlength(1)+2: locations of the flag changesDecoding the one-dimensional array givess( )[ ] 1/1 +−= jniINTEGERks(3)s( ) ( )( )[ ] ( )12/111 −+−−−−= pnpknij jjs=-=(4)-=-sWhere ( )ZINTEGERsis the integer part of real number Z . For the 3Dsfield defined by (j,k,l) shown in figure 14, ( )1)1( 21 −+−+= knniqqii kjs(5)s( ) ( )( )jnppjkni jj −+−++−= 1111s(6)s( ) ( ) ( ) jp... |

23 |
Fully Threaded Tree Algorithms for Adaptive Refinement Fluid Dynamics Simulations,”
- Khokhlov
- 1998
(Show Context)
Citation Context ...sIn case of moving body problem, the convective flux 21+ifsshown by red boundary in figure 24 is calculatedsfrom Rqsand Lqsshown in figure 24. Rqsis estimated by linear interpolation used formulation =-=(15)-=- to have velocitysvqsat the intersecting point shown by red point in the figure 24. Intersecting point is updated by every time step.sviR qd dxq d dxq +⎟⎠ ⎞⎜⎝ ⎛ −= 1s(15)sFigure 24. Example of Cartesi... |

14 |
Surface Triangulation for Polygonal Models Based on
- Ito, Nakahashi
- 2002
(Show Context)
Citation Context ... Definition of pedigree. American Institute of Aeronautics and Astronauticss7 described by a one-dimensional array of i by the following equations:s( ) ( )( )jnppjkni jj −+−++−= 111s(1)s( )2,mod kp =s=-=(2)-=-swhere jnsis the number of cells in a cube in the j-direction. ( )YX ,mod is the remainder of YX ÷ , where X and Ysare integers.sWith these equations, a one-dimensional array, say JK_runlength(i), can... |

4 |
A Method for Large-Scale
- Kim, Koh, et al.
- 2007
(Show Context)
Citation Context ...Flow Solver AlgorithmsConstitution of Base Flow SolversIn this study, following Pseudo-compressible Navier-Stokes equation is used for the governing equation.s( ) upuu t uu 2 Re 1 ∇+−∇=∇⋅+∂ ∂+∂ ∂ τ ,s=-=(9)-=-s01 =⋅∇+∂ ∂ upτδ ,s(10)swheresδρρ == 2cp .s(11)sVariable location is collocated. Finite volume method is used for the discretization method. Convective term isscalculated by 3rd order upwind scheme wi... |

4 |
Turbulent flow simulation around complex geometries with cartesian grid method
- Kamatsuchi
- 2007
(Show Context)
Citation Context ...Constitution of Base Flow SolversIn this study, following Pseudo-compressible Navier-Stokes equation is used for the governing equation.s( ) upuu t uu 2 Re 1 ∇+−∇=∇⋅+∂ ∂+∂ ∂ τ ,s(9)s01 =⋅∇+∂ ∂ upτδ ,s=-=(10)-=-swheresδρρ == 2cp .s(11)sVariable location is collocated. Finite volume method is used for the discretization method. Convective term isscalculated by 3rd order upwind scheme with MUSCL interpolation.... |

3 |
High-Density Mesh Flow Computations with Pre-/Post-Data Compressions,” AIAA paper
- Nakahashi
(Show Context)
Citation Context ...e integer part of real number Z . For the 3Dsfield defined by (j,k,l) shown in figure 14, ( )1)1( 21 −+−+= knniqqii kjs(5)s( ) ( )( )jnppjkni jj −+−++−= 1111s(6)s( ) ( ) ( ) jpjnpknni jkj −+−++−= 112s=-=(7)-=-s( )2,mod kp = , ( )2,mod lq =s(8)sThis compression enables the data size to be reduced to much smaller than the conventional data structure. Forsexample, file size of mesh about 30 million cells (351... |

3 |
Efficient Cartesian Mesh Generation for Building-Cube Method Using
- Ishida, S, et al.
(Show Context)
Citation Context ...lation to reduce computational costs. That is to say Neumann boundaryscondition for the staircase wall boundary is used.siL qq =s(12)siR qd dxq ⎟⎠ ⎞⎜⎝ ⎛ −= 1s(13)s( ) ( )[ ]LRLRi qqcqqcf −−+=+ 2 1 21s=-=(14)-=-sFigure 23. Example of Cartesian mesh.sIn case of moving body problem, the convective flux 21+ifsshown by red boundary in figure 24 is calculatedsfrom Rqsand Lqsshown in figure 24. Rqsis estimated by ... |

2 |
Construction of Rapid Simulation Tool for Automotive
- Ono, Aoki, et al.
(Show Context)
Citation Context ...TEGERks(3)s( ) ( )( )[ ] ( )12/111 −+−−−−= pnpknij jjs(4)sWhere ( )ZINTEGERsis the integer part of real number Z . For the 3Dsfield defined by (j,k,l) shown in figure 14, ( )1)1( 21 −+−+= knniqqii kjs=-=(5)-=-s( ) ( )( )jnppjkni jj −+−++−= 1111s(6)s( ) ( ) ( ) jpjnpknni jkj −+−++−= 112s(7)s( )2,mod kp = , ( )2,mod lq =s(8)sThis compression enables the data size to be reduced to much smaller than the conven... |

2 |
Three-Dimensional Flow Computations around an Airfoil by Building-Cube Method,” AIAA paper
- Nakahashi, Kitoh, et al.
- 2006
(Show Context)
Citation Context ...For the 3Dsfield defined by (j,k,l) shown in figure 14, ( )1)1( 21 −+−+= knniqqii kjs(5)s( ) ( )( )jnppjkni jj −+−++−= 1111s(6)s( ) ( ) ( ) jpjnpknni jkj −+−++−= 112s(7)s( )2,mod kp = , ( )2,mod lq =s=-=(8)-=-sThis compression enables the data size to be reduced to much smaller than the conventional data structure. Forsexample, file size of mesh about 30 million cells (3515 cubes with 20x20x20 cells in eac... |

2 |
Investigation of Incompressible Flow Calculation for Thin Objects on Cartesian Grid,” The Japan Society of Fluid Mechanics 2008
- Akasaka, K
(Show Context)
Citation Context ...w SolversIn this study, following Pseudo-compressible Navier-Stokes equation is used for the governing equation.s( ) upuu t uu 2 Re 1 ∇+−∇=∇⋅+∂ ∂+∂ ∂ τ ,s(9)s01 =⋅∇+∂ ∂ upτδ ,s(10)swheresδρρ == 2cp .s=-=(11)-=-sVariable location is collocated. Finite volume method is used for the discretization method. Convective term isscalculated by 3rd order upwind scheme with MUSCL interpolation. Accuracy is reduced to ... |

2 |
Fast Large Scale Voxelization using a Pedigree,” The
- Tawara, Ono
(Show Context)
Citation Context ...css11sIn the shell computation, the convective flux 21+ifsshown by red boundary in figure 23 is calculated from Rqsand Lqsshown in figure 23. Rqsis estimated by linear interpolation using formulation =-=(13)-=- to have velocity zero atsthe intersecting point shown red point in the figure 23. Viscous term is treated as same as convective flux. Poissonsequation is treated as same as voxel simulation to reduce... |

2 | An Efficient Numerical Algorithm for the Tree-data Based Flow Solver,” Computational Fluid Dynamics - Ogawa |

2 | An Adaptive Cartesian Mesh Flow Solver Based on the Tree-data with Anisotropic Mesh Refinement,” Computational Fluid Dynamics 2002, Eds - Ogawa - 2002 |