Masahiro Ikegawa

PARALLEL OVERLAPPING SCHEME FOR VISCOUS INCOMPRESSIBLE FLOWS

SUMMARY A 3D parallel overlapping scheme for viscous incompressible flow problems is presented that combines the finite element method, which is best suited for analysing flow in any arbitrarily shaped flow geometry, with the finite difference method, which is advantageous in terms of both computing time and computer storage. A modified ABMAC method is used as the solution algorithm, to which a sophisticated time integration scheme proposed by the present authors has been applied. Parallelization is based on the domain decomposition method. The RGB (recursive graph bisection) algorithm is used for the decomposition of the FEM mesh and simple slice decomposition is used for the FDM mesh. Some estimates of the parallel performance of FEM, FDM and overlapping computations are presented. 1997 by John Wiley & Sons, Ltd.

FEM/FDM composite scheme for viscous incompressible flow analysis

Abstract A new FEM/FDM composite scheme for incompressible flow problems is presented combining the finite element method, which is best suited to analyze flow in any arbitrarily shaped flow geometry, with the finite difference method, which is advantageous in both computing time and computer storage. The combination of both methods enables large-scale viscous flow to be analyzed, which is crucial for both the detailed analysis of three-dimensional flows and the solving of flow problems around moving bodies. A modified ABMAC method is used as the basic algorithm, to which a sophisticated time integration scheme has been applied. Numerical results including moving boundary problems and three-dimensional problems indicate good agreement with experimental results.

Finite element analysis of flow over a weir

Abstract The present paper deals with finite element analysis of fluid flow over a weir under gravity. The problem is formulated mathematically as a 2-dimensional nonlinear boundary value problem in terms of a stream function, assuming the fluid to be inviscid and incompressible, and the flow to be irrotational. The problem thus defined is analysed by the use of the finite element method based on a variational principle for a flow with a free surface boundary. Due to the strong nonlinearity of the problem, an iterative procedure based on Newton-Raphson method is employed. Numerical results obtained by the present method are compared with the experimental data. The agreements of these two are quite satisfactory

Application of a 3-D FEM/FDM Overlapping Scheme to Heat and Mass Transfer and Moving-Boundary Problems

A 3-D FEM/FDM overlapping scheme for viscous, incompressible flow problems is presented that combines the finite element method, which is best suited to analyze flow in any arbitrarily shaped flow geometry, with the finite difference method, which is advantageous in both computing time and computer storage. The combination of both methods enables large-scale viscous flow to be analyzed, which is crucial both for detailed analysis of 3-D flows and for solving flow problems around moving bodies, A modified ABM AC method is used as the basic algorithm, to which a sophisticated time integration scheme, proposed by the present authors, has been applied. In this paper, some numerical results including 3-D heat and mass transfer problem and moving-boundary problems are presented.