𝔖 Bobbio Scriptorium
✦   LIBER   ✦

R-ADAPTIVE BOUNDARY ELEMENT METHOD FOR UNSTEADY FREE-SURFACE FLOW ANALYSIS

✍ Scribed by K. ABE

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
889 KB
Volume
39
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

An adaptive meshing based on the r-method is developed for two-dimensional unsteady non-linear flows with a free surface. Coupling of a boundary element equation and a weighted residual formulation of the pressure equation on the free surface is employed in solving the wave problems. A mesh optimization scheme is constructed for these two matrix equations. The final mesh distribution on the free surface is determined from the weighted average of these two adaptive meshes. Through numerical analyses of a non-linear sloshing problem and solitary waves in a tank, the influence of time interval of the remeshing and the weight factor for two adaptive meshes on the accuracy and efficiency of the proposed approach is investigated.

πŸ“œ SIMILAR VOLUMES

Surface pressure solution for boundary-e
Surface pressure solution for boundary-element analysis of stokes flow
✍ Ingber, Marc S. ;Li, Jing πŸ“‚ Article πŸ“… 1991 πŸ› Wiley (John Wiley & Sons) 🌐 English βš– 473 KB

## Abstract Analysis of creeping flow problems using the boundary‐element method is now well established. The method is based on the transformation of the governing partial differential equations into a boundary integral equation for the velocity at arbitrary field points in terms of the surface ve

AN IMPROVED MAC METHOD (SIMAC) FOR UNSTE
AN IMPROVED MAC METHOD (SIMAC) FOR UNSTEADY HIGH-REYNOLDS FREE SURFACE FLOWS
✍ Vincenzo Armenio πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 647 KB

A modified MAC method (SIMAC; semi-implicit marker and cell) is proposed which accurately treats unsteady high-Reynolds free surface problems. SIMAC solves the Navier-Stokes equations in primitive variables on a non-uniform staggered Cartesian grid by means of a finite difference scheme. The convect