Concepts for implementing adaptive finite element codes ：实现自适应有限元程序概念.pptVIP

Concepts for implementing adaptive finite element codes for grid computing Krzysztof Bana?, Joanna P?a?ek Cracow University of Technology Krzysztof.Banas@pk.edu.pl Outline Motivation FEM code as grid application Current project Future plans Grid environment from application developer perspective Open environment (coupling with external modules, standardization of interfaces) High performance communication libraries Simpler code development Cooperation with other groups Broad user base State of the art for the FEM Complex problems (nonlinear, coupled, multi-scale, multi-physics) Complex codes (adaptive meshes, multi-level solvers, parallel and distributed execution) Steep learning curves for users Unmanageable software for developers Example finite element PSE Current project - existing software Adaptive FE codes in Fortran 77, Fortran 90, C Areas of application: acoustics, elasticity, compressible fluid flow, multi-phase flow, electro-magnetism hp-adaptivity Multi-level solvers Parallel versions for PVM, DSM and MPI Current project - application areas Scattering of acoustic and electro-magnetic waves Current project - application areas Subsurface flow simulation (discontinuous approximation, multi-level solvers) Current project - application areas Compressible fluid flow Current project Modularization Standardization of interfaces Testing communication mechanisms Coupling with visualization software FE code modules Assumptions: code is built from small specialized modules modules form separate libraries modules have their own data structure interfaces are designed for F90, C and C++ modules may define their own data distribution modules are glued together by problem dependent code FE code modules Adaptive mesh procedures: Read_mesh_data( mesh_id, read_type) Create_node(mesh_id, parameters, node_id) Divide_element(mesh_id, element_id, element_sons_ids) Get_element_father(mesh_id, element_id, father_id) Get_face_edges(mesh_id, face_id, face