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Volumn 197, Issue 21-24, 2008, Pages 1926-1937

A study of point moving adaptivity in gridless method

Author keywords

Adaptive; Cloud of points; Fluid dynamics; Gridless; Moving point; Reference radius

Indexed keywords

ADAPTIVE ALGORITHMS; CHANNEL FLOW; COMPRESSIBLE FLOW; EULER EQUATIONS; FLOW FIELDS; FLOW MEASUREMENT;

EID: 40249086528     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.12.012     Document Type: Article
Times cited : (29)

References (52)
  • 1
    • 0019071046 scopus 로고
    • Adaptive grid method for problems in fluid mechanics and heat transfer
    • Dwyer H.A., Kee R.J., and Sanders B.R. Adaptive grid method for problems in fluid mechanics and heat transfer. AIAA J. 18 10 (1980) 1205-1212
    • (1980) AIAA J. , vol.18 , Issue.10 , pp. 1205-1212
    • Dwyer, H.A.1    Kee, R.J.2    Sanders, B.R.3
  • 2
    • 0011407882 scopus 로고
    • Grid evolution in time asymptotic problems
    • Rai M.M., and Anderson D.A. Grid evolution in time asymptotic problems. J. Comput. Phys. 43 (1981) 327-344
    • (1981) J. Comput. Phys. , vol.43 , pp. 327-344
    • Rai, M.M.1    Anderson, D.A.2
  • 3
    • 0023329981 scopus 로고
    • Self-adaptive-grid method with application to airfoil flow
    • Nakahashi K., and Deiwert G.S. Self-adaptive-grid method with application to airfoil flow. AIAA J. 25 4 (1987) 513-520
    • (1987) AIAA J. , vol.25 , Issue.4 , pp. 513-520
    • Nakahashi, K.1    Deiwert, G.S.2
  • 4
    • 40249117063 scopus 로고    scopus 로고
    • Jamshid S. Bolhassani, Robert E. Smith, Surendra N. Tiwari, Grid adaption for hypersonic flow, AIAA Paper 1987-1169, 1987.
    • Jamshid S. Bolhassani, Robert E. Smith, Surendra N. Tiwari, Grid adaption for hypersonic flow, AIAA Paper 1987-1169, 1987.
  • 5
    • 40249088569 scopus 로고    scopus 로고
    • Andrew T. Hsu, John K. Lytle, A simple algebraic grid adaptation scheme with applications to two- and three-dimensional flow problems, AIAA Paper 1989-1984, 1989.
    • Andrew T. Hsu, John K. Lytle, A simple algebraic grid adaptation scheme with applications to two- and three-dimensional flow problems, AIAA Paper 1989-1984, 1989.
  • 6
    • 40149112621 scopus 로고    scopus 로고
    • R. Struijs, P. Vankeirsbilck, H. Deconinck, An adaptive grid polygonal finite volume method for the compressible flow equations, AIAA Paper 1989-1959, 1989.
    • R. Struijs, P. Vankeirsbilck, H. Deconinck, An adaptive grid polygonal finite volume method for the compressible flow equations, AIAA Paper 1989-1959, 1989.
  • 7
    • 40249100562 scopus 로고    scopus 로고
    • Z.J. Wang, R.F. Chen, Anisotropic cartesian grid method for viscous turbulent flow, AIAA Paper 2000-0395, 2000.
    • Z.J. Wang, R.F. Chen, Anisotropic cartesian grid method for viscous turbulent flow, AIAA Paper 2000-0395, 2000.
  • 8
    • 0842290729 scopus 로고    scopus 로고
    • A quadtree adaptive method for simulating fluid flows with moving interfaces
    • Greaves D. A quadtree adaptive method for simulating fluid flows with moving interfaces. J. Comput. Phys. 194 (2004) 35-56
    • (2004) J. Comput. Phys. , vol.194 , pp. 35-56
    • Greaves, D.1
  • 9
    • 10244256013 scopus 로고    scopus 로고
    • Adaptive computations on conforming quadtree meshes
    • Tabarraei A., and Sukumar N. Adaptive computations on conforming quadtree meshes. Finite Elem. Anal. Des. 41 (2005) 686-702
    • (2005) Finite Elem. Anal. Des. , vol.41 , pp. 686-702
    • Tabarraei, A.1    Sukumar, N.2
  • 10
    • 40249084462 scopus 로고    scopus 로고
    • Meng-Sing Liou, An extended lagrangian method, AIAA Paper 1993-3305, 1993.
    • Meng-Sing Liou, An extended lagrangian method, AIAA Paper 1993-3305, 1993.
  • 11
    • 0031206524 scopus 로고    scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • Roe P.L. Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 135 (1997) 250-258
    • (1997) J. Comput. Phys. , vol.135 , pp. 250-258
    • Roe, P.L.1
  • 12
    • 40249115124 scopus 로고    scopus 로고
    • John T. Batina, A gridless Euler/Navier-Stokes equations algorithm for complex-aircraft application, AIAA Paper 1993-1003, 1993.
    • John T. Batina, A gridless Euler/Navier-Stokes equations algorithm for complex-aircraft application, AIAA Paper 1993-1003, 1993.
  • 13
    • 40249097839 scopus 로고    scopus 로고
    • J.L. Liu, S.J. Su, A potential gridless solution method for the compressible Euler/Navier-Stokes equations, AIAA Paper 1996-0526, 1996.
    • J.L. Liu, S.J. Su, A potential gridless solution method for the compressible Euler/Navier-Stokes equations, AIAA Paper 1996-0526, 1996.
  • 15
    • 0030294780 scopus 로고    scopus 로고
    • A finite point method in computational mechanics. Applications to convective transport and fluid flow
    • Onate E., Idelsohn S., Zienkiewicz O.C., and Taylor R.L. A finite point method in computational mechanics. Applications to convective transport and fluid flow. Int. J. Numer. Methods Engrg. 39 (1996) 3839-3866
    • (1996) Int. J. Numer. Methods Engrg. , vol.39 , pp. 3839-3866
    • Onate, E.1    Idelsohn, S.2    Zienkiewicz, O.C.3    Taylor, R.L.4
  • 17
    • 0032140617 scopus 로고    scopus 로고
    • Adaptive approach with the element-free-Galerkin method
    • Haeussler-Combe U., and Korn C. Adaptive approach with the element-free-Galerkin method. Comput. Methods Appl. Mech. Engrg. 162 1-4 (1998) 203-222
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.162 , Issue.1-4 , pp. 203-222
    • Haeussler-Combe, U.1    Korn, C.2
  • 18
    • 0040788400 scopus 로고    scopus 로고
    • Tang Jun, Wang Hui Ping, A probe of the meshfree methods in crack propagation life prediction, American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP, 400 (2000) 99-106.
    • Tang Jun, Wang Hui Ping, A probe of the meshfree methods in crack propagation life prediction, American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP, 400 (2000) 99-106.
  • 19
    • 0034295852 scopus 로고    scopus 로고
    • Two scale meshfree method for the adaptivity of 3-D stress concentration problems
    • Ho L.S., Jin K.H., and Sukky J. Two scale meshfree method for the adaptivity of 3-D stress concentration problems. Comput. Mech. 26 4 (2000) 376-387
    • (2000) Comput. Mech. , vol.26 , Issue.4 , pp. 376-387
    • Ho, L.S.1    Jin, K.H.2    Sukky, J.3
  • 20
    • 0036722538 scopus 로고    scopus 로고
    • Automatic adaptive generation of a coupled finite element/element-free Galerkin discretization
    • Karutza H., Chudobab R., and Kratzigc W.B. Automatic adaptive generation of a coupled finite element/element-free Galerkin discretization. Finite Elem. Anal. Des. 38 (2002) 1075-1091
    • (2002) Finite Elem. Anal. Des. , vol.38 , pp. 1075-1091
    • Karutza, H.1    Chudobab, R.2    Kratzigc, W.B.3
  • 21
    • 0141519220 scopus 로고    scopus 로고
    • Filters, reproducing kernel, and adaptive meshfree method
    • You Y., Chen J.S., and Lu H. Filters, reproducing kernel, and adaptive meshfree method. Comput. Mech. 31 3-4 (2003) 316-326
    • (2003) Comput. Mech. , vol.31 , Issue.3-4 , pp. 316-326
    • You, Y.1    Chen, J.S.2    Lu, H.3
  • 22
    • 0142259821 scopus 로고    scopus 로고
    • A posteriori error estimates and an adaptive scheme of least-square meshfree method
    • Park S.-H., Kwon K.-C., and Youn S.-K. A posteriori error estimates and an adaptive scheme of least-square meshfree method. Int. J. Numer. Methods Engrg. 58 (2003) 1213-1250
    • (2003) Int. J. Numer. Methods Engrg. , vol.58 , pp. 1213-1250
    • Park, S.-H.1    Kwon, K.-C.2    Youn, S.-K.3
  • 23
    • 0141849037 scopus 로고    scopus 로고
    • Improvements of generalized finite difference method and comparison with other meshless method
    • Gavete L., Gavete M.L., and Benito J.J. Improvements of generalized finite difference method and comparison with other meshless method. Appl. Math. Model. 27 (2003) 831-847
    • (2003) Appl. Math. Model. , vol.27 , pp. 831-847
    • Gavete, L.1    Gavete, M.L.2    Benito, J.J.3
  • 25
    • 13844316933 scopus 로고    scopus 로고
    • Meshfree analysis of softening elastoplastic solids using variational multiscale method
    • Yeon J.H., and Youn S.K. Meshfree analysis of softening elastoplastic solids using variational multiscale method. Int. J. Solids Struct. 42 14 (2005) 4030-4057
    • (2005) Int. J. Solids Struct. , vol.42 , Issue.14 , pp. 4030-4057
    • Yeon, J.H.1    Youn, S.K.2
  • 26
    • 16244382854 scopus 로고    scopus 로고
    • Adaptive enrichment meshfree simulation and experiment on buckling and post-buckling analysis in sheet metal forming
    • Lu H., Cheng H.S., Cao J., and Liu W.K. Adaptive enrichment meshfree simulation and experiment on buckling and post-buckling analysis in sheet metal forming. Comput. Methods Appl. Mech. Engrg. 194 (2005) 2569-2590
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , pp. 2569-2590
    • Lu, H.1    Cheng, H.S.2    Cao, J.3    Liu, W.K.4
  • 27
    • 21244433570 scopus 로고    scopus 로고
    • An efficient implicit mesh-free method to solve two-dimensional compressible euler equations
    • Chen H.Q., and Shu C. An efficient implicit mesh-free method to solve two-dimensional compressible euler equations. Int. J. Mod. Phys. C 16 3 (2005) 439-454
    • (2005) Int. J. Mod. Phys. C , vol.16 , Issue.3 , pp. 439-454
    • Chen, H.Q.1    Shu, C.2
  • 28
    • 22244473362 scopus 로고    scopus 로고
    • Adaptivity for structured meshfree particle methods in 2D and 3D
    • Rabczuk T., and Belytschko T. Adaptivity for structured meshfree particle methods in 2D and 3D. Comput. Methods Appl. Mech. Engrg. 63 (2005) 1559-1582
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.63 , pp. 1559-1582
    • Rabczuk, T.1    Belytschko, T.2
  • 29
    • 33748714192 scopus 로고    scopus 로고
    • Adaptive distribution of particles in a meshfree method
    • Ni G.X., Wang R.L., and Lin Z. Adaptive distribution of particles in a meshfree method. Chinese J. Comput. Phys. 23 4 (2006) 419-424
    • (2006) Chinese J. Comput. Phys. , vol.23 , Issue.4 , pp. 419-424
    • Ni, G.X.1    Wang, R.L.2    Lin, Z.3
  • 30
    • 33744756339 scopus 로고    scopus 로고
    • Meshfree simulations of thermo-mechanical ductile fracture
    • Simkins D.C., and Li S. Meshfree simulations of thermo-mechanical ductile fracture. Comput. Mech. 38 3 (2006) 235-249
    • (2006) Comput. Mech. , vol.38 , Issue.3 , pp. 235-249
    • Simkins, D.C.1    Li, S.2
  • 31
    • 33646422497 scopus 로고    scopus 로고
    • Meshless techniques for convection dominated problems
    • Gu Y.T., and Liu G.R. Meshless techniques for convection dominated problems. Comput. Mech. 38 2 (2006) 171-182
    • (2006) Comput. Mech. , vol.38 , Issue.2 , pp. 171-182
    • Gu, Y.T.1    Liu, G.R.2
  • 32
    • 0033886658 scopus 로고    scopus 로고
    • Multiple-scale meshfree adaptivity for the simulation of adiabatic shear band formation
    • Jun S., and Im S. Multiple-scale meshfree adaptivity for the simulation of adiabatic shear band formation. Comput. Mech. 25 2-3 (2006) 257-266
    • (2006) Comput. Mech. , vol.25 , Issue.2-3 , pp. 257-266
    • Jun, S.1    Im, S.2
  • 33
    • 13444307682 scopus 로고    scopus 로고
    • A gridless boundary condition method for the solution of the Euler equations on embedded Cartesian meshes with multigrid
    • Kirshman D.J., and Liu F. A gridless boundary condition method for the solution of the Euler equations on embedded Cartesian meshes with multigrid. J. Comput. Phys. 201 (2004) 119-147
    • (2004) J. Comput. Phys. , vol.201 , pp. 119-147
    • Kirshman, D.J.1    Liu, F.2
  • 34
    • 33644942081 scopus 로고    scopus 로고
    • A hybrid Cartesian grid and gridless method for compressible flows
    • Luo H., Baum J.D., and Lohner R. A hybrid Cartesian grid and gridless method for compressible flows. J. Comput. Phys. 214 (2006) 618-632
    • (2006) J. Comput. Phys. , vol.214 , pp. 618-632
    • Luo, H.1    Baum, J.D.2    Lohner, R.3
  • 35
    • 33646838611 scopus 로고    scopus 로고
    • Natural element approximations involving bubbles for treating mechanical models in incompressible media
    • Yvonnet J., Villon P., and Chinesta F. Natural element approximations involving bubbles for treating mechanical models in incompressible media. Int. J. Numer. Methods Engrg. 66 7 (2006) 1125-1152
    • (2006) Int. J. Numer. Methods Engrg. , vol.66 , Issue.7 , pp. 1125-1152
    • Yvonnet, J.1    Villon, P.2    Chinesta, F.3
  • 37
    • 3042820708 scopus 로고    scopus 로고
    • Recovery based error estimation and adaptivity applied to a modified element-free Galerkin method
    • Rossi R., and Alves M.K. Recovery based error estimation and adaptivity applied to a modified element-free Galerkin method. Comput. Mech. 33 3 (2004) 194-205
    • (2004) Comput. Mech. , vol.33 , Issue.3 , pp. 194-205
    • Rossi, R.1    Alves, M.K.2
  • 38
    • 25144469305 scopus 로고    scopus 로고
    • An h-adaptive modified element-free Galerkin method
    • Rossi R., and Alves M.K. An h-adaptive modified element-free Galerkin method. Eur. J. Mech. A - Solids 24 5 (2005) 782-799
    • (2005) Eur. J. Mech. A - Solids , vol.24 , Issue.5 , pp. 782-799
    • Rossi, R.1    Alves, M.K.2
  • 39
    • 0742287393 scopus 로고    scopus 로고
    • On error estimation and adaptive refinement for element free Galerkin method: Part I: Stress recovery and a posteriori error estimation
    • Lee C.K., and Zhou C.E. On error estimation and adaptive refinement for element free Galerkin method: Part I: Stress recovery and a posteriori error estimation. Comput. Struct. 82 4-5 (2004) 413-428
    • (2004) Comput. Struct. , vol.82 , Issue.4-5 , pp. 413-428
    • Lee, C.K.1    Zhou, C.E.2
  • 40
    • 0742269995 scopus 로고    scopus 로고
    • On error estimation and adaptive refinement for element free Galerkin method: Part II: Adaptive refinement
    • Lee C.K., and Zhou C.E. On error estimation and adaptive refinement for element free Galerkin method: Part II: Adaptive refinement. Comput. Struct. 82 4-5 (2004) 429-443
    • (2004) Comput. Struct. , vol.82 , Issue.4-5 , pp. 429-443
    • Lee, C.K.1    Zhou, C.E.2
  • 41
    • 0037085990 scopus 로고    scopus 로고
    • Domain-free discretization method for doubly connected domain and its application to simulate natural convection in eccentric annuli
    • Shu C., and Wu Y.L. Domain-free discretization method for doubly connected domain and its application to simulate natural convection in eccentric annuli. Comput. Methods Appl. Mech. Engrg. 191 (2002) 1827-1841
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 1827-1841
    • Shu, C.1    Wu, Y.L.2
  • 42
    • 0037436111 scopus 로고    scopus 로고
    • Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations
    • Shu C., Ding H., and Yeo K.S. Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 192 (2003) 941-954
    • (2003) Comput. Methods Appl. Mech. Engrg. , vol.192 , pp. 941-954
    • Shu, C.1    Ding, H.2    Yeo, K.S.3
  • 43
    • 33846348679 scopus 로고    scopus 로고
    • Applications of stencil-adaptive finite difference method to incompressible viscous flows with curved boundary
    • Ding H., Shu C., and Cai Q.D. Applications of stencil-adaptive finite difference method to incompressible viscous flows with curved boundary. Comput. Fluids 36 4 (2007) 786-793
    • (2007) Comput. Fluids , vol.36 , Issue.4 , pp. 786-793
    • Ding, H.1    Shu, C.2    Cai, Q.D.3
  • 44
    • 30944459022 scopus 로고    scopus 로고
    • Adaptive solution of flow past two side-by-side circular cylinders
    • Ding H., and Shu C. Adaptive solution of flow past two side-by-side circular cylinders. Mod. Phys. Lett. B 19 28-29 (2005) 1459-1462
    • (2005) Mod. Phys. Lett. B , vol.19 , Issue.28-29 , pp. 1459-1462
    • Ding, H.1    Shu, C.2
  • 45
    • 33644546424 scopus 로고    scopus 로고
    • A stencil adaptive algorithm for finite difference solution of incompressible viscous flows
    • Ding H., and Shu C. A stencil adaptive algorithm for finite difference solution of incompressible viscous flows. J. Comput. Phys. 214 (2006) 397-420
    • (2006) J. Comput. Phys. , vol.214 , pp. 397-420
    • Ding, H.1    Shu, C.2
  • 46
    • 0037086287 scopus 로고    scopus 로고
    • An adaptive procedure based on background cells for meshless methods
    • Liu G.R., and Tu Z.H. An adaptive procedure based on background cells for meshless methods. Comput. Methods Appl. Mech. Engrg. 191 (2002) 1923-1943
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 1923-1943
    • Liu, G.R.1    Tu, Z.H.2
  • 47
    • 33744905833 scopus 로고    scopus 로고
    • A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis
    • Liu G.R., Kee B.B.T., and Chun L. A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis. Comput. Methods Appl. Mech. Engrg. 195 (2006) 4843-4861
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , pp. 4843-4861
    • Liu, G.R.1    Kee, B.B.T.2    Chun, L.3
  • 48
    • 33644936544 scopus 로고    scopus 로고
    • Mesh free adaptive algorithm for solving euler equations on structured-grid points
    • Ma Z.H., and Chen H.Q. Mesh free adaptive algorithm for solving euler equations on structured-grid points. Trans. Nanjing Univ. Aeronaut. Astronaut. 22 4 (2005) 271-275
    • (2005) Trans. Nanjing Univ. Aeronaut. Astronaut. , vol.22 , Issue.4 , pp. 271-275
    • Ma, Z.H.1    Chen, H.Q.2
  • 49
    • 30944459442 scopus 로고    scopus 로고
    • Simulations of transonic inviscid flows over airfoils using meshfree adaptive algorithm
    • Ma Z.H., and Chen H.Q. Simulations of transonic inviscid flows over airfoils using meshfree adaptive algorithm. Mod. Phys. Lett. B 19 28-29 (2005) 63-66
    • (2005) Mod. Phys. Lett. B , vol.19 , Issue.28-29 , pp. 63-66
    • Ma, Z.H.1    Chen, H.Q.2
  • 50
    • 33847041928 scopus 로고    scopus 로고
    • A gridless-finite volume hybrid algorithm for euler equations
    • Ma Z.H., Chen H.Q., and Wu X.J. A gridless-finite volume hybrid algorithm for euler equations. Chinese J. Aeronaut. 19 4 (2006) 286-294
    • (2006) Chinese J. Aeronaut. , vol.19 , Issue.4 , pp. 286-294
    • Ma, Z.H.1    Chen, H.Q.2    Wu, X.J.3
  • 51
    • 33847029802 scopus 로고    scopus 로고
    • An implicit gridless type solver for the Navier-Stokes equations
    • Morinishi K. An implicit gridless type solver for the Navier-Stokes equations. Comput. Fluid Dynam. J., Special Number (2001) 551-560
    • (2001) Comput. Fluid Dynam. J., Special Number , pp. 551-560
    • Morinishi, K.1
  • 52
    • 85087193182 scopus 로고    scopus 로고
    • M. Lastiwka, M. Basa, N. Quinlan, Application of 3D smoothed particle hydrodynamics to a shock tube flow: effect and control of particle distribution, AIAA Paper 2005-4263, 2005.
    • M. Lastiwka, M. Basa, N. Quinlan, Application of 3D smoothed particle hydrodynamics to a shock tube flow: effect and control of particle distribution, AIAA Paper 2005-4263, 2005.


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