메뉴 건너뛰기




Volumn 29, Issue 1, 2008, Pages 15-27

Numerical results for a colocated finite-volume scheme on Voronoi meshes for Navier-Stokes equations

Author keywords

Cavity; Navier Stokes equations; Newton method; Voronoi diagram

Indexed keywords

AERODYNAMICS; CHLORINE COMPOUNDS; FINITE VOLUME METHOD; FLUID DYNAMICS; FLUID MECHANICS; MIXED CONVECTION; NEWTON-RAPHSON METHOD; NUMERICAL METHODS; REYNOLDS NUMBER; SUBMARINE PIPELINES; VISCOUS FLOW; VORTEX FLOW;

EID: 49749130842     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (41)
  • 1
    • 33646789849 scopus 로고    scopus 로고
    • A meshless spatial coupling scheme for large-scale fluid-structure interation problems
    • Ahrem, R.; Beckert, A.; Wendland, H. (2006): A meshless spatial coupling scheme for large-scale fluid-structure interation problems, CMES: Computer Modeling in Engineering & Sciences, Vol 12, No. 2, pp. 121-136.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.12 , Issue.2 , pp. 121-136
    • Ahrem, R.1    Beckert, A.2    Wendland, H.3
  • 2
    • 41649087179 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin method with unity test function for non-isothermal fluid flow
    • Arefmanesh, A.; Najafi, M.; Abdi, H. (2008): Meshless local Petrov-Galerkin method with unity test function for non-isothermal fluid flow, CMES: Computer Modeling in Engineering & Sciences, Vol. 25, No. 1, pp. 9-22.
    • (2008) CMES: Computer Modeling in Engineering & Sciences , vol.25 , Issue.1 , pp. 9-22
    • Arefmanesh, A.1    Najafi, M.2    Abdi, H.3
  • 3
    • 31744445240 scopus 로고    scopus 로고
    • A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions
    • Blanc, P.; Eymard, R.; Herbin, R. (2005): A staggered finite volume scheme on general meshes for the generalized Stokes problem in two space dimensions, Int. J. Finite Volumes, http://averoes.math.univparis13.fr/ JOURNAL/IJFV.
    • (2005) Int. J. Finite Volumes
    • Blanc, P.1    Eymard, R.2    Herbin, R.3
  • 4
    • 0032078546 scopus 로고    scopus 로고
    • Benchmark spectral results on the lid - driven cavity vlow
    • Botella, O.; Peyret, R. (1998): Benchmark spectral results on the lid - driven cavity vlow, Computers & Fluids, Vol. 27, No. 4, pp. 421-433.
    • (1998) Computers & Fluids , vol.27 , Issue.4 , pp. 421-433
    • Botella, O.1    Peyret, R.2
  • 5
    • 28444438848 scopus 로고    scopus 로고
    • The 2D Hddriven cavity problem revisited
    • Bruneau, C.-H.; Saad, M. (2006): The 2D Hddriven cavity problem revisited. Computers & Fluids, Vol. 35, No. 3, pp. 326-348.
    • (2006) Computers & Fluids , vol.35 , Issue.3 , pp. 326-348
    • Bruneau, C.-H.1    Saad, M.2
  • 7
    • 33845397945 scopus 로고    scopus 로고
    • Performance of multiquadric collocation method in solving lid-driven cavity flow problem with low Reynolds number
    • Chantasiriwan, S. (2006): Performance of multiquadric collocation method in solving lid-driven cavity flow problem with low Reynolds number, CMES: Computer Modeling in Engineering & Sciences Vol. 15, No. 3, pp. 137-146.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.15 , Issue.3 , pp. 137-146
    • Chantasiriwan, S.1
  • 8
    • 31744434832 scopus 로고    scopus 로고
    • Numerical results using a colocated finite-volume scheme on unstructured grids for incompressible fluid flows
    • Chénier, E.; Eymard, R.; Touazi, Q. (2006): Numerical results using a colocated finite-volume scheme on unstructured grids for incompressible fluid flows, Numer. Heat Transfer Part B, Vol. 49, No. 3, pp. 259-276.
    • (2006) Numer. Heat Transfer Part B , vol.49 , Issue.3 , pp. 259-276
    • Chénier, E.1    Eymard, R.2    Touazi, Q.3
  • 9
    • 28344451060 scopus 로고    scopus 로고
    • Numerical computation of three-dimensional incompressible viscous flows in the primitive variable form by local multiquadratic differential quadrature method
    • Ding, H.; Shu, C.; Yeo, K. S.; Xu, D. (2006): Numerical computation of three-dimensional incompressible viscous flows in the primitive variable form by local multiquadratic differential quadrature method, Comp. Methods in Appl. Mech. Engr., Vol. 195, No. 7-8, pp. 516-533.
    • (2006) Comp. Methods in Appl. Mech. Engr , vol.195 , Issue.7-8 , pp. 516-533
    • Ding, H.1    Shu, C.2    Yeo, K.S.3    Xu, D.4
  • 10
    • 84941433641 scopus 로고
    • Uber die reduction der positiven quadratschen formen mit drei undestimmten ganzen zahlen, Z.
    • Dirichlet, G. L. (1850): Uber die reduction der positiven quadratschen formen mit drei undestimmten ganzen zahlen, Z. Reine Angew, Math., Vol. 40, pp. 209-227.
    • (1850) Reine Angew, Math , vol.40 , pp. 209-227
    • Dirichlet, G.L.1
  • 11
    • 0043207275 scopus 로고    scopus 로고
    • A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions
    • Eymard, R.; Herbin, R. (2003): A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions, Comptes Rendus Mathematique, Vol. 337, No. 2, pp. 125-128.
    • (2003) Comptes Rendus Mathematique , vol.337 , Issue.2 , pp. 125-128
    • Eymard, R.1    Herbin, R.2
  • 12
    • 31744445240 scopus 로고    scopus 로고
    • A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions
    • Eymard, R.; Herbin, R. (2005): A staggered finite volume scheme on general meshes for the Navier-Stokes equations in two space dimensions, Int. J. Finite Volumes, http://averoes.math.univparis13.fr/JOURNAL/IJFV.
    • (2005) Int. J. Finite Volumes
    • Eymard, R.1    Herbin, R.2
  • 14
    • 0041638560 scopus 로고    scopus 로고
    • Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions
    • Gallouët, T.; Herbin, R.; Vignal, M. H. (2000): Error estimates on the approximate finite volume solution of convection diffusion equations with general boundary conditions, SIAM Journal on Numerical Analysis, Vol. 37, No. 6, pp. 1935-1972.
    • (2000) SIAM Journal on Numerical Analysis , vol.37 , Issue.6 , pp. 1935-1972
    • Gallouët, T.1    Herbin, R.2    Vignal, M.H.3
  • 15
    • 49049143188 scopus 로고
    • Highre solutions for incompressible flow using the Navier-Stokes equations and multigrid method
    • Ghia, U.; Ghia, K. N.; Shin, C. T. (1982): Highre solutions for incompressible flow using the Navier-Stokes equations and multigrid method, J. Comp. Phys., Vol. 48, pp. 387-411.
    • (1982) J. Comp. Phys , vol.48 , pp. 387-411
    • Ghia, U.1    Ghia, K.N.2    Shin, C.T.3
  • 17
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with a free surface
    • Harlow, F.; Welch, J. (1965): Numerical calculation of time-dependent viscous incompressible flow of fluid with a free surface, Phys. Fluids, Vol. 8, No. 12, pp. 2182-2189.
    • (1965) Phys. Fluids , vol.8 , Issue.12 , pp. 2182-2189
    • Harlow, F.1    Welch, J.2
  • 19
    • 0037906184 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations
    • Lin, H.; Atluri, S. N. (2001): The meshless local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations, CMES: Computer Modeling in Engineering & Sciences, Vol. 2, No. 2, pp. 117-142.
    • (2001) CMES: Computer Modeling in Engineering & Sciences , vol.2 , Issue.2 , pp. 117-142
    • Lin, H.1    Atluri, S.N.2
  • 20
    • 3242727010 scopus 로고    scopus 로고
    • Boundary integral-based domain decomposition technique of Navier-Stokes equations
    • Mai-Duy, N.; Tran-Cong, T. (2004): Boundary integral-based domain decomposition technique of Navier-Stokes equations. CMES: Computer Modeling in Engineering & Sciences, Vol. 6, No. 1, pp. 59-75.
    • (2004) CMES: Computer Modeling in Engineering & Sciences , vol.6 , Issue.1 , pp. 59-75
    • Mai-Duy, N.1    Tran-Cong, T.2
  • 21
    • 38349124229 scopus 로고    scopus 로고
    • A EulerianLagrangian method applied to fluid flow in liddriven cavities with irregular bottom walls
    • Mariani, V. C.; Prata, A. T. (2008): A EulerianLagrangian method applied to fluid flow in liddriven cavities with irregular bottom walls. Numer. Heat Transfer Part B, Vol. 53, No. 3, pp. 1-28.
    • (2008) Numer. Heat Transfer Part B , vol.53 , Issue.3 , pp. 1-28
    • Mariani, V.C.1    Prata, A.T.2
  • 22
    • 0031099550 scopus 로고    scopus 로고
    • A pressure-based method for unstructured meshes
    • Mathur, S. R.; Murthy, J. Y. (1997): A pressure-based method for unstructured meshes, Numer. Heat Transfer Part B, Vol. 31, pp. 195-215.
    • (1997) Numer. Heat Transfer Part B , vol.31 , pp. 195-215
    • Mathur, S.R.1    Murthy, J.Y.2
  • 23
    • 0031250418 scopus 로고    scopus 로고
    • Pressure boundary conditions for incompressible flow using unstructured meshes
    • Mathur, S. R.; Murthy, J. Y. (1997): Pressure boundary conditions for incompressible flow using unstructured meshes, Numer. Heat Transfer Part B, Vol. 32, pp. 283-298.
    • (1997) Numer. Heat Transfer Part B , vol.32 , pp. 283-298
    • Mathur, S.R.1    Murthy, J.Y.2
  • 25
    • 0002053588 scopus 로고
    • The covolume approach to computing incompressible flows
    • M. D. Gunzburger and R. A. Nicolaides eds, Cambridge University Press, Cambridge, UK, pp
    • Nicolaides, R. A. (1993): The covolume approach to computing incompressible flows, in M. D. Gunzburger and R. A. Nicolaides (eds.), Incompressible Computational Fluid Dynamics, Cambridge University Press, Cambridge, UK, pp. 295-333.
    • (1993) Incompressible Computational Fluid Dynamics , pp. 295-333
    • Nicolaides, R.A.1
  • 26
    • 9144263782 scopus 로고    scopus 로고
    • 2D Incompressible viscous flows at moderate and high Reynolds numbers
    • Nicolás, A.; Bermúdez, B. (2004): 2D Incompressible viscous flows at moderate and high Reynolds numbers. CMES: Computer Modeling in Engineering & Sciences, Vol. 6, No. 5, pp. 441-451.
    • (2004) CMES: Computer Modeling in Engineering & Sciences , vol.6 , Issue.5 , pp. 441-451
    • Nicolás, A.1    Bermúdez, B.2
  • 27
    • 34547819752 scopus 로고    scopus 로고
    • Viscous incompressible flows by the velocity-vorticity Navier-Stokes equations
    • Nicolás A.; Bermúdez, B. (2007): Viscous incompressible flows by the velocity-vorticity Navier-Stokes equations, CMES: Computer Modeling in Engineering & Sciences, Vol 20, No. 2, pp. 73-83.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.20 , Issue.2 , pp. 73-83
    • Nicolás, A.1    Bermúdez, B.2
  • 28
    • 39349099522 scopus 로고    scopus 로고
    • Improving volume element methods by meshless radial basis function techniques
    • Orsini, P.; Power, H.; Morvan, H. (2008): Improving volume element methods by meshless radial basis function techniques, CMES: Computer Modeling in Engineering & Sciences, Vol. 23, No. 3, pp. 187-207.
    • (2008) CMES: Computer Modeling in Engineering & Sciences , vol.23 , Issue.3 , pp. 187-207
    • Orsini, P.1    Power, H.2    Morvan, H.3
  • 30
    • 49049123295 scopus 로고
    • Driven cavity flows by efficient numerical techniques
    • Schreiber, R.; Keller, H. B. (1983): Driven cavity flows by efficient numerical techniques, J. Comp. Phys., Vol. 49, No. 2, pp. 310-333.
    • (1983) J. Comp. Phys , vol.49 , Issue.2 , pp. 310-333
    • Schreiber, R.1    Keller, H.B.2
  • 31
    • 27844596796 scopus 로고    scopus 로고
    • Voronoi fluid particle model for Euler equations
    • Serrano, M.; Español, P.; Zúñigal, I. (2005): Voronoi fluid particle model for Euler equations, J. of Statistical Physics, Vol. 121, No. 1-2, pp. 133-147.
    • (2005) J. of Statistical Physics , vol.121 , Issue.1-2 , pp. 133-147
    • Serrano, M.1    Español, P.2    Zúñigal, I.3
  • 33
    • 0026106836 scopus 로고
    • Construction of a flow-simulating method with finite volume based on a Voronoi Diagram
    • Taniguchi, N.; Arakawa, C.; Kobayashi, T. (1991): Construction of a flow-simulating method with finite volume based on a Voronoi Diagram, JSME International Journal, Serie II, Vol. 34, No. 1, pp. 18-23.
    • (1991) JSME International Journal, Serie II , vol.34 , Issue.1 , pp. 18-23
    • Taniguchi, N.1    Arakawa, C.2    Kobayashi, T.3
  • 34
    • 0025814367 scopus 로고
    • Finite volume method on the unstructured grid system
    • Taniguchi, N.; Kobayashi, T. (1991): Finite volume method on the unstructured grid system, Computers & Fluids, Vol. 19, No. 3-4, pp. 287-295.
    • (1991) Computers & Fluids , vol.19 , Issue.3-4 , pp. 287-295
    • Taniguchi, N.1    Kobayashi, T.2
  • 36
    • 0029749385 scopus 로고    scopus 로고
    • ELAFINT: A mixed Eulerian-Lagrangian method for fluid flows with complex and moving boundaries
    • Udaykumar, H. S.; Shyy, W; Rao, M. M. (1996): ELAFINT: A mixed Eulerian-Lagrangian method for fluid flows with complex and moving boundaries, Int. J. Numerical Methods in Fluids, Vol. 22, No. 8, pp. 691-712.
    • (1996) Int. J. Numerical Methods in Fluids , vol.22 , Issue.8 , pp. 691-712
    • Udaykumar, H.S.1    Shyy, W.2    Rao, M.M.3
  • 37
    • 46149132843 scopus 로고
    • Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
    • Vanka, S. P. (1986): Block-implicit multigrid solution of Navier-Stokes equations in primitive variables. J. Comp. Phys., Vol. 65, No. 1, pp. 138-158.
    • (1986) J. Comp. Phys , vol.65 , Issue.1 , pp. 138-158
    • Vanka, S.P.1
  • 38
    • 84927514013 scopus 로고
    • Nouvelles applications des paramétrés continus à la théorie des formes quadratiques. Deuxième memoie, recherches ser les paralleloèdres primitifs
    • Voronoi, G. (1908): Nouvelles applications des paramétrés continus à la théorie des formes quadratiques. Deuxième memoie, recherches ser les paralleloèdres primitifs, J. für die Reine und Angewandte Mathematik, Vol. 134, pp. 198-287.
    • (1908) J. für die Reine und Angewandte Mathematik , vol.134 , pp. 198-287
    • Voronoi, G.1
  • 39
    • 0001086475 scopus 로고
    • Delaunay Triangulation in Computational Fluid Dynamics
    • Weatherill, N. P. (1992): Delaunay Triangulation in Computational Fluid Dynamics, Computers Math. Applic., Vol. 24, No. 5-6, pp. 129-150.
    • (1992) Computers Math. Applic , vol.24 , Issue.5-6 , pp. 129-150
    • Weatherill, N.P.1
  • 40
    • 0000084316 scopus 로고    scopus 로고
    • An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
    • Ye, T.; Mittal, R.; Udaykumar, H. S.; Shyy, W. (1999): An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. J. Comp. Phys., Vol. 156, No. 2, pp. 209-240.
    • (1999) J. Comp. Phys , vol.156 , Issue.2 , pp. 209-240
    • Ye, T.1    Mittal, R.2    Udaykumar, H.S.3    Shyy, W.4
  • 41
    • 3142773581 scopus 로고    scopus 로고
    • Solutions of 2D and 3D Stokes laws using multiquadrics method
    • Young, D. L.; Lane, S. C.; Lin, C. Y.; Chiu, C. L.; Chen, K. C. (2004): Solutions of 2D and 3D Stokes laws using multiquadrics method. Engr. Anal. With Bound. Elem., Vol. 28, No. 10, pp. 1233-1243.
    • (2004) Engr. Anal. With Bound. Elem , vol.28 , Issue.10 , pp. 1233-1243
    • Young, D.L.1    Lane, S.C.2    Lin, C.Y.3    Chiu, C.L.4    Chen, K.C.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.