메뉴 건너뛰기




Volumn 48, Issue 4, 2005, Pages 363-386

GDQ method for natural convection in a cubic cavity using velocity-vorticity formulation

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BENCHMARKING; NAVIER STOKES EQUATIONS; POISSON EQUATION; PROBLEM SOLVING; VELOCITY; VELOCITY MEASUREMENT;

EID: 27544456860     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407790591009251     Document Type: Article
Times cited : (26)

References (20)
  • 1
    • 0016894436 scopus 로고
    • Investigation of the stability of boundary layers by a finite-difference model of the navier-stokes equations
    • H. Fasel, Investigation of the Stability of Boundary Layers by a Finite-Difference Model of the Navier-Stokes Equations, J. Fluid Mech., vol. 78, pp. 355-383, 1976.
    • (1976) J. Fluid Mech. , vol.78 , pp. 355-383
    • Fasel, H.1
  • 2
    • 0026172444 scopus 로고
    • A multigrid solver for the vorticity-velocity navier-stokes equations
    • M. Napolitano and L. A. Catalano, A Multigrid Solver for the Vorticity-Velocity Navier-Stokes Equations, Int. J. Numer. Meth. Fluids, vol. 13, pp. 49-59, 1993.
    • (1993) Int. J. Numer. Meth. Fluids , vol.13 , pp. 49-59
    • Napolitano, M.1    Catalano, L.A.2
  • 3
    • 0000223946 scopus 로고
    • A vorticity-velocity method for the numerical solution of 3D incompressible flows
    • G. Guj and F. Stella, A Vorticity-Velocity Method for the Numerical Solution of 3D Incompressible Flows, J. Comput. Phys., vol. 106, pp. 286-298, 1993.
    • (1993) J. Comput. Phys. , vol.106 , pp. 286-298
    • Guj, G.1    Stella, F.2
  • 4
    • 0035455620 scopus 로고    scopus 로고
    • A novel velocity-vorticity formulation of the navier-stokes equations with application to boundary layer disturbance evolution
    • C. Davis and P. W. Carpenter, A Novel Velocity-Vorticity Formulation of the Navier-Stokes Equations with Application to Boundary Layer Disturbance Evolution, J. Comput. Phys., vol. 172, pp. 119-165, 2001.
    • (2001) J. Comput. Phys. , vol.172 , pp. 119-165
    • Davis, C.1    Carpenter, P.W.2
  • 5
    • 0037137877 scopus 로고    scopus 로고
    • A 3D incompressible navier-stokes velocity-vorticity weak form finite element algorithm
    • K. L. Wong and A. J. Baker, A 3D Incompressible Navier-Stokes Velocity-Vorticity Weak Form Finite Element Algorithm, Int. J. Numer. Meth. Fluids, vol. 38, pp. 99-123, 2002.
    • (2002) Int. J. Numer. Meth. Fluids , vol.38 , pp. 99-123
    • Wong, K.L.1    Baker, A.J.2
  • 6
    • 0017552051 scopus 로고
    • Three-dimensional natural convection in a box: A numerical study
    • G. D. Mallinson and G. de Vahl Davis, Three-Dimensional Natural Convection in a Box: A Numerical Study, J. Fluid Mech., vol. 83, pp. 1-31, 1977.
    • (1977) J. Fluid Mech. , vol.83 , pp. 1-31
    • Mallinson, G.D.1    De Vahl Davis, G.2
  • 7
    • 0001307859 scopus 로고
    • Resolution of the 2D navier-stokes equations in velocity-vorticity form by means of an influence matrix technique
    • O. Daube, Resolution of the 2D Navier-Stokes Equations in Velocity-Vorticity Form by Means of an Influence Matrix Technique, J. Comput. Phys., vol. 103, pp. 402-414, 1992.
    • (1992) J. Comput. Phys. , vol.103 , pp. 402-414
    • Daube, O.1
  • 8
    • 0001610179 scopus 로고    scopus 로고
    • A galerkin implementation of the generalized helmholtz decomposition for vorticity formulations
    • M. S. Ingber and S. N. Kempka, A Galerkin Implementation of the Generalized Helmholtz Decomposition for Vorticity Formulations, J. Comput. Phys., vol. 169, pp. 215-237, 2001.
    • (2001) J. Comput. Phys. , vol.169 , pp. 215-237
    • Ingber, M.S.1    Kempka, S.N.2
  • 9
    • 1542636255 scopus 로고    scopus 로고
    • Arbitrary lagrangian-eulerian finite element analysis of free surface flow using a velocity-vorticity formulation
    • D. C. Lo and D. L. Young, Arbitrary Lagrangian-Eulerian Finite Element Analysis of Free Surface Flow Using a Velocity-Vorticity Formulation, J. Comput. Phys., vol. 195, pp. 175-201, 2004.
    • (2004) J. Comput. Phys. , vol.195 , pp. 175-201
    • Lo, D.C.1    Young, D.L.2
  • 10
    • 0025398857 scopus 로고
    • Finite element solution of the navier-stokes equations by a velocity-vorticity method
    • G. Guevremont, W. G. Habashi, and M. M. Hafez, Finite Element Solution of the Navier-Stokes Equations by a Velocity-Vorticity Method, Int. J. Numer. Meth. Fluids, vol. 10, pp. 461-475, 1990.
    • (1990) Int. J. Numer. Meth. Fluids , vol.10 , pp. 461-475
    • Guevremont, G.1    Habashi, W.G.2    Hafez, M.M.3
  • 11
    • 0002800312 scopus 로고
    • Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
    • R. E. Bellman, B. G. Kashef, and J. Casti, Differential Quadrature: A Technique for the Rapid Solution of Nonlinear Partial Differential Equations, J. Comput. Phys., vol. 10, pp. 40-52, 1972.
    • (1972) J. Comput. Phys. , vol.10 , pp. 40-52
    • Bellman, R.E.1    Kashef, B.G.2    Casti, J.3
  • 12
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve 2-dimensional incompressible navier-stokes equations
    • C. Shu and B. E. Richards, Application of Generalized Differential Quadrature to Solve 2-Dimensional Incompressible Navier-Stokes Equations, Int. J. Numer. Meth. Fluids, vol. 15, pp. 791-798, 1992.
    • (1992) Int. J. Numer. Meth. Fluids , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 13
    • 0001517953 scopus 로고    scopus 로고
    • An efficient approach to simulate natural convection in arbitrarily eccentric annuli by vorticity-stream function formulation
    • C. Shu, K. S. Yeo, and Q. Yao, An Efficient Approach to Simulate Natural Convection in Arbitrarily Eccentric Annuli by Vorticity-Stream Function Formulation, Numer. Heat Transfer A, vol. 38, pp. 739-756, 2000.
    • (2000) Numer. Heat Transfer A , vol.38 , pp. 739-756
    • Shu, C.1    Yeo, K.S.2    Yao, Q.3
  • 14
    • 0141940283 scopus 로고    scopus 로고
    • Numerical computation of three-dimensional incompressible navier-stokes equations in primitive variable form by DQ method
    • C. Shu, L. Wang, and Y. T. Chew, Numerical Computation of Three-Dimensional Incompressible Navier-Stokes Equations in Primitive Variable Form by DQ Method, Int. J. Numer. Meth. Fluids, vol. 43, pp. 345-368, 2003.
    • (2003) Int. J. Numer. Meth. Fluids , vol.43 , pp. 345-368
    • Shu, C.1    Wang, L.2    Chew, Y.T.3
  • 15
    • 0034333611 scopus 로고    scopus 로고
    • A first incursion into the 3D structure of natural convection of air in a differentially heated cubic cavity, from accurate numerical solutions
    • E. Trie, G. Labrosse, and M. Betrouni, A First Incursion into the 3D Structure of Natural Convection of Air in a Differentially Heated Cubic Cavity, from Accurate Numerical Solutions, Int. J. Heat Mass Transfer, vol. 43, pp. 4043-4056, 2000.
    • (2000) Int. J. Heat Mass Transfer , vol.43 , pp. 4043-4056
    • Trie, E.1    Labrosse, G.2    Betrouni, M.3
  • 16
    • 0344981327 scopus 로고    scopus 로고
    • A 3D incompressible thermal lattice boltzmann model and its application to simulate natural convection in a cubic cavity
    • Y. Peng, C. Shu, and Y. T. Chew, A 3D Incompressible Thermal Lattice Boltzmann Model and its Application to Simulate Natural Convection in a Cubic Cavity, J. Comput. Phys., vol. 193, pp. 260-274, 2003.
    • (2003) J. Comput. Phys. , vol.193 , pp. 260-274
    • Peng, Y.1    Shu, C.2    Chew, Y.T.3
  • 17
    • 0026172251 scopus 로고
    • A numerical study of three-dimensional natural convection in a differentially heated cubical enclosure
    • T. Fusegi, J. M. Hyun, K. Kuwahara, and B. Farouk, A Numerical Study of Three-Dimensional Natural Convection in a Differentially Heated Cubical Enclosure, Int. J. Heat Mass Transfer, vol. 34, pp. 1543-1557, 1991.
    • (1991) Int. J. Heat Mass Transfer , vol.34 , pp. 1543-1557
    • Fusegi, T.1    Hyun, J.M.2    Kuwahara, K.3    Farouk, B.4
  • 18
    • 0242485286 scopus 로고    scopus 로고
    • Benchmark solutions for natural convection in a cubic cavity using the high-order time-space method
    • S. Wakashima and T. S. Saitoh, Benchmark Solutions for Natural Convection in a Cubic Cavity Using the High-Order Time-Space Method, Int. J. Heat Mass Transfer, vol. 47, pp. 853-864, 2004.
    • (2004) Int. J. Heat Mass Transfer , vol.47 , pp. 853-864
    • Wakashima, S.1    Saitoh, T.S.2
  • 19
    • 16244401951 scopus 로고    scopus 로고
    • GDQ method for natural convection in a square cavity using a velocity-vorticity formulation
    • D. C. Lo, D. L. Young, and K. Murugesan, GDQ Method for Natural Convection in a Square Cavity Using a Velocity-Vorticity Formulation, Numer. Heat Transfer B, vol. 47, pp. 321-341, 2005.
    • (2005) Numer. Heat Transfer B , vol.47 , pp. 321-341
    • Lo, D.C.1    Young, D.L.2    Murugesan, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.