Análise de Escoamentos Bi-Fásicos Incompressíveis Imiscíveis pelo Método dos Elementos Finitos No Cray Y-MP2E/232
Resumo
Este trabalho apresenta medições de desempenho de um código para a análise de escoamentos bi-fásicos incompressíveis imiscíveis pelo Método dos Elementos Finitos no supercomputador CRAY Y-MP 2E/232. O código foi validado através da utilização intensiva de ferramentas de visualização científica e todas as medições de desempenho efetuadas alcançaram taxas superiores a 100 Mflops.
Referências
K. Aziz and A. Settari, "Petroleum Reservoir Simulation", Applied Science Publishers, 1979.
R.E. Ewing. "The Mathematics of Reservoir Simulation", SIAM, Philadelphia, 1983.
G. Chavent e J. Jaffre, "Mathematical Models and Finite Elements for Reservoir Simulation", North Holland, Amsterdam, 1986.
A. Spivak, H.S. Price e A. Settari, "Solution of the Equations for Multidimensional, Two-Phase, Immiscible Flow by Variational Methods", Society of Petroleum Engineers Journal, Vol. 17, pp. 27-41, 1977.
R.W. Lewis, K. Morgan e K.H. Johnson, "A Finite Element Study of Two-Dimensional Multiphase Flow with Particular Reference to the Five-Spot Problem", Computer Methods in Applied Mechanics and Engineering, Vol. 44, pp. 17-47, 1984.
H.K. Dahle, M.S. Espedal e O. Saevareid, "Characteristic, Local Grid Refinement Techniques for Reservoir Flow Problems", International Journal for Numerical Methods in Engineering, Vol. 34, pp. 1051-1069, 1992.
H.P. Langtangen, "Implicit Finite Element Methods for Two-Phase Flow in Oil Reservoirs", International Journal for Numerical Methods in Fluids, Vol. 10, pp. 651-681, 1990.
O.C. Zienkiewicz and J.Z. Zhu, "The Superconvergent Patch Recovery and a-Posterior Error Estimates. Part 1: The Recovery Techniques", International Journal for Numerical Methods in Engineering, Vol. 33, pp. 1131-1364, 1992.
A.N. Brooks e T.J.R. Hughes, "Streamline Upwind/ Petrov-Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations", Computer Methods in Applied Mechanics and Engineering, Vol. 32, pp. 199-259, 1982.
G.J. Le Beau e T.E. Tezduyar, "Finite Element Computation of Co: pressible Flows with the SUPG Formulations", Army High Performance Computing Research Center, AHPCRC Preprint 91-44, 1991.
A.L.G.A. Coutinho, J.L.D. Alves, N.F.F. Ebecken e L.M. Troina, "Conjugate Gradient Solution of Finite Element Equations on the IBM 3090 Vector Computer Utilizing Polynomial Preconditionings", Computer Methods in Applied Mechanics and Engineering, Vol. 84, pp. 129-145, 1990.
A.L.G.A. Coutinho, J.L.D. Alves e N.F.F. Ebecken, "A Study of Implementation Schemes for Vectorized EBE Sparse Matrix-Vector Multiplications". Advances in Engineering Software, Vol. 13, pp. 130-135, 1991.
A.L.G.A. Coutinho, J.L.D. Alves, L. Landau, N.F.F. Ebecken e L.M. Troina, "Comparison of Lanczos and Conjugate Gradients for the Element-by-Element Solution of Finite Element Equations on the IBM 3090 Vector Computer", Computer and Structures, Vol. 39, pp. 47-55, 1991.
H.K. Dahle, M.S. Espedal, R.E. Ewing e O. Saevareid, "Characteristic Adaptive Subdomain Methods for Reservoir Flow Problems", Numerical Methods for Partial Differential Equations, Vol. 6, pp. 279-309, 1990.
R.E. Ewing. "The Mathematics of Reservoir Simulation", SIAM, Philadelphia, 1983.
G. Chavent e J. Jaffre, "Mathematical Models and Finite Elements for Reservoir Simulation", North Holland, Amsterdam, 1986.
A. Spivak, H.S. Price e A. Settari, "Solution of the Equations for Multidimensional, Two-Phase, Immiscible Flow by Variational Methods", Society of Petroleum Engineers Journal, Vol. 17, pp. 27-41, 1977.
R.W. Lewis, K. Morgan e K.H. Johnson, "A Finite Element Study of Two-Dimensional Multiphase Flow with Particular Reference to the Five-Spot Problem", Computer Methods in Applied Mechanics and Engineering, Vol. 44, pp. 17-47, 1984.
H.K. Dahle, M.S. Espedal e O. Saevareid, "Characteristic, Local Grid Refinement Techniques for Reservoir Flow Problems", International Journal for Numerical Methods in Engineering, Vol. 34, pp. 1051-1069, 1992.
H.P. Langtangen, "Implicit Finite Element Methods for Two-Phase Flow in Oil Reservoirs", International Journal for Numerical Methods in Fluids, Vol. 10, pp. 651-681, 1990.
O.C. Zienkiewicz and J.Z. Zhu, "The Superconvergent Patch Recovery and a-Posterior Error Estimates. Part 1: The Recovery Techniques", International Journal for Numerical Methods in Engineering, Vol. 33, pp. 1131-1364, 1992.
A.N. Brooks e T.J.R. Hughes, "Streamline Upwind/ Petrov-Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations", Computer Methods in Applied Mechanics and Engineering, Vol. 32, pp. 199-259, 1982.
G.J. Le Beau e T.E. Tezduyar, "Finite Element Computation of Co: pressible Flows with the SUPG Formulations", Army High Performance Computing Research Center, AHPCRC Preprint 91-44, 1991.
A.L.G.A. Coutinho, J.L.D. Alves, N.F.F. Ebecken e L.M. Troina, "Conjugate Gradient Solution of Finite Element Equations on the IBM 3090 Vector Computer Utilizing Polynomial Preconditionings", Computer Methods in Applied Mechanics and Engineering, Vol. 84, pp. 129-145, 1990.
A.L.G.A. Coutinho, J.L.D. Alves e N.F.F. Ebecken, "A Study of Implementation Schemes for Vectorized EBE Sparse Matrix-Vector Multiplications". Advances in Engineering Software, Vol. 13, pp. 130-135, 1991.
A.L.G.A. Coutinho, J.L.D. Alves, L. Landau, N.F.F. Ebecken e L.M. Troina, "Comparison of Lanczos and Conjugate Gradients for the Element-by-Element Solution of Finite Element Equations on the IBM 3090 Vector Computer", Computer and Structures, Vol. 39, pp. 47-55, 1991.
H.K. Dahle, M.S. Espedal, R.E. Ewing e O. Saevareid, "Characteristic Adaptive Subdomain Methods for Reservoir Flow Problems", Numerical Methods for Partial Differential Equations, Vol. 6, pp. 279-309, 1990.
Publicado
07/09/1993
Como Citar
COUTINHO, Alvaro L. G. A.; ALVES, José L. D.; EBECKEN, Nelson F. F..
Análise de Escoamentos Bi-Fásicos Incompressíveis Imiscíveis pelo Método dos Elementos Finitos No Cray Y-MP2E/232. In: INTERNATIONAL SYMPOSIUM ON COMPUTER ARCHITECTURE AND HIGH PERFORMANCE COMPUTING (SBAC-PAD), 5. , 1993, Florianópolis/SC.
Anais [...].
Porto Alegre: Sociedade Brasileira de Computação,
1993
.
p. 601-613.
DOI: https://doi.org/10.5753/sbac-pad.1993.23063.
