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Unformatted text preview: Solution Chapter 10 December 17, 2004 Inventory #002170 102 INTRODUCTION TO ANSYS INTRODUCTION TO ANSYS INTRODUCTION TO ANSYS  Part 1 Part 1 Part 1 Training Manual • The function of the solver is to solve the system of linear simultaneous equations representing the structure’s degrees of freedom. • The solution could take anywhere from a few seconds to several hours depending primarily on the size of the model, the solver selected, and the speed of your computer. • A linear static analysis with one load step requires only one such solution, but a nonlinear or transient analysis may require tens, hundreds, or even thousands of solutions. Therefore, the type of solver you choose for solution can be quite important. Chapter 10 – Solution A. Solvers December 17, 2004 Inventory #002170 103 INTRODUCTION TO ANSYS INTRODUCTION TO ANSYS INTRODUCTION TO ANSYS  Part 1 Part 1 Part 1 Training Manual • The solvers available in ANSYS can be categorized into four types: 1) Direct elimination 2) Iterative 3) Distributed ANSYS † 1) Direct elimination solvers • Sparse (default) • Frontal 2) Iterative solvers • PCG (Preconditioned Conjugate Gradient) • ICCG (Incomplete Cholesky Conjugate Gradient) • JCG (Jacobi Conjugate Gradient) • AMG (Algebraic Multigrid) † (only Matrix Solution Distributed on Shared Memory) Chapter 10 – Solution …Solvers † Part of the Parallel Performance for ANSYS addon license December 17, 2004 Inventory #002170 104 INTRODUCTION TO ANSYS INTRODUCTION TO ANSYS INTRODUCTION TO ANSYS  Part 1 Part 1 Part 1 Training Manual 3) Distributed ANSYS (DANSYS) (all of the ANSYS /SOLUTION phase is in parallel which includes stiffness matrix generation, linear equation solving and results calculation) • Distributed Preconditioned Conjugate Gradient † (EQSLVE, DPCG) • Distributed Jacobi Conjugate Gradient † (EQSLVE, DJCG) • Distributed Sparse Solver † (EQSLVE, DSPARSE) – Factorization of the matrix and back/forward substitution is done in distributed parallel mode • Existing Shared Memory Sparse Solver (EQSLVE,SPARSE) – The solver itself runs only on the master process (other parts run in distributed parallel) – May be run in shared memory parallel mode on the master machine (/CONFIG,NPROC,N) A general discussion of direct and iterative solvers will be covered in the next slides. Chapter 10 – Solution …Solvers † Part of the Parallel Performance for ANSYS addon license December 17, 2004 Inventory #002170 105 INTRODUCTION TO ANSYS INTRODUCTION TO ANSYS INTRODUCTION TO ANSYS  Part 1 Part 1 Part 1 Training Manual • Calculate the solution as follows: 1. Formulate individual element matrices. 2. Assemble the global stiffness matrix....
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