Large scale thermal-solid coupling analysis using inexact balancing domain decomposition

In this research, a system of thermal-solid coupling analysis is developed with the implementation of Inexact Balancing Domain Decomposition with a diagonal scaling (IBDD-DIAG) in both thermal and solid analysis. The IBDD-DIAG is an improved version of Balancing Domain Decomposition (BDD), where an incomplete factorization based parallel direct method is employed to solve a coarse space problem, and the diagonal-scaling is employed to precondition local fine space problems instead of the Neumann-Neumann preconditioner. The developed system performed heat conductive analysis to have temperature distributions in solid models and then performed the structural analysis to see deformation or expansion due to temperature differences. Both of the analyses employed the Hierarchical Domain Decomposition Method (HDDM) with parallel IBDD-DIAG. It is shown that the iterative procedure converges rapidly and the convergence is independent of the number of subdomains, namely, numerical scalability is satisfied. The present system is implemented on massively parallel processors and succeeds in solving a thermal-solid coupling problem of 12 millions of nodes

Treatment of Block-Based Sparse Matrices in Domain Decomposition Method

Abstract— The domain decomposition method involves the finite element solution of problems in the parallel computer. The finite element discretization leads to the solution of large systems of linear equation whose matrix is naturally sparse. The use of proper storing techniques for sparse matrix is fundamental especially when dealing with large scale problems typical of industrial applications. The aim of this research is to review the sparsity pattern of the matrices originating from the discretization of the elasto-plastic and thermal-convection problems. Some practical strategies dealing with sparsity pattern in the finite element code of adventure system are recalled. Several efficient storage schemes to store the matrix originating from elasto-plastic and thermal-convection problems have been proposed. In the proposed technique, inherent block pattern of the matrix is exploited to locate the matrix element. The computation in the high performance computer shows better performance compared to the conventional skyline storage method used by the most of the researchers

Development of a Numerical Library based on Hierarchical Domain Decomposition for Post Petascale Simulation

1.Introduction 2.Overview of ADVENTURE SYSTEM 3.Parallel Algorithms Implemented in ADVENTURE system 4.Numerical Analysis of Pressure Vessel Model 5.ConclusionJoint Research Workshop of Institute of Mathematics for Industry (IMI), Kyushu University : \u22Propagation of Ultra-large-scale Computation by the Domain-decomposition-method for Industrial Problems (PUCDIP 2019)\u2

Development of a Numerical Library based on Hierarchical Domain Decomposition for Post Petascale Simulation

1.Introduction 2.Overview of ADVENTURE SYSTEM 3.Parallel Algorithms Implemented in ADVENTURE system 4.Numerical Analysis of Pressure Vessel Model 5.ConclusionJoint Research Workshop of Institute of Mathematics for Industry (IMI), Kyushu University : "Propagation of Ultra-large-scale Computation by the Domain-decomposition-method for Industrial Problems (PUCDIP 2019)