Computing periodic gravity waves on water by using moving composite overlapping grids

Journal Article · Mon Nov 01 00:00:00 EST 1993 · SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (United States)

DOI:https://doi.org/10.1137/0914079· OSTI ID:5834222

Petersson, N A ^[1]

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1. Univ. of California, Los Angeles, CA (United States). Department of Mathematics

The composite overlapping grid method is applied to compute periodic gravity waves on water of finite constant depth. One component grid is made to follow the free surface while the remaining components are independent of the location of the surface. A pseudo-arclength continuation method is used to compute the solution as function of the phase velocity of the wave. The type of equation associated with some grid points and the number of equations in the discretized problem will change when the surface moves. The author expounds a stable way of switching the composite grid during the continuation procedure that works close to limit points. An adaptive technique is also developed to efficiently resolve the solution where sharp gradients develop. The aim of the research described here is to develop an accurate method that can be easily extended to compute the subcritical flow around an underwater obstacle, where they feel that the existing methods still need improvement.

• OSTI ID: 5834222
• Journal Information: SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (United States), Vol. 14:6; ISSN 0196-5204
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
GRAVITY WAVES
CALCULATION METHODS
SEAS
DEPTH
LAMINAR FLOW
MESH GENERATION
PHASE VELOCITY
UNDERWATER FACILITIES
DIMENSIONS
FLUID FLOW
SURFACE WATERS
VELOCITY
423000* - Engineering- Marine Engineering- (1980-)
990200 - Mathematics & Computers