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Implicit Parallel FEM Analysis of Shallow Water Equations

Implicit Parallel FEM Analysis of Shallow Water Equations
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摘要 The velocity field in the Wu River at Chongqing was simulated using the shallow water equation implemented on clustered workstations. The parallel computing technique was used to increase the comput- ing power. The shallow water equation was discretized to a linear system of equations with a direct parallel generalized minimum residual algorithm (GMRES) used to solve the linear system. Unlike other parallel GMRES methods, the direct GMRES method does not alter the sequential algorithm, but bases the paral- lelization on basic operations such as the matrix-vector product. The computed results agree well with ob- served results. The parallel computing technique significantly increases the solution speed for this large- scale problem. The velocity field in the Wu River at Chongqing was simulated using the shallow water equation implemented on clustered workstations. The parallel computing technique was used to increase the comput- ing power. The shallow water equation was discretized to a linear system of equations with a direct parallel generalized minimum residual algorithm (GMRES) used to solve the linear system. Unlike other parallel GMRES methods, the direct GMRES method does not alter the sequential algorithm, but bases the paral- lelization on basic operations such as the matrix-vector product. The computed results agree well with ob- served results. The parallel computing technique significantly increases the solution speed for this large- scale problem.
出处 《Tsinghua Science and Technology》 SCIE EI CAS 2005年第3期364-371,共8页 清华大学学报(自然科学版(英文版)
基金 Supported by the National Natural Science Foundation of China (Nos. 50379022 and 59979013)
关键词 shallow water equations parallel computing generalized minimum residual algorithm (GMRES) shallow water equations parallel computing generalized minimum residual algorithm (GMRES)
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参考文献1

  • 1Rudnei Dias Cunha,Tim Hopkins.A parallel implementation of the restarted GMRES iterative algorithm for nonsymmetric systems of linear equations[J].Advances in Computational Mathematics.1994(3)

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