TY - JOUR

T1 - A new strategy for finite element computations involving moving boundaries and interfaces-The deforming-spatial-domain/space-time procedure

T2 - II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders

AU - Tezduyar, T. E.

AU - Behr, M.

AU - Mittal, S.

AU - Liou, J.

N1 - Funding Information:
Space Center under grant NAG 9-449 and by NSF under
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

PY - 1992/2

Y1 - 1992/2

N2 - New finite element computational strategies for free-surface flows, two-liquid flows, and flows with drifting cylinders are presented. These strategies are based on the deforming spatial-domain/spacetime (DSD/ST) procedure. In the DSD/ST approach, the stabilized variational formulations for these types of flow problem are written over their space-time domains. One of the important features of the approach is that it enables one to circumvent the difficulty involved in remeshing every time step and thus reduces the projection errors introduced by such frequent remeshings. Computations are performed for various test problems mainly for the purpose of demonstrating the computational capability developed for this class of problems. In some of the test cases, such as the liquid drop problem, surface tension is taken into account. For flows involving drifting cylinders, the mesh moving and remeshing schemes proposed are convenient and reduce the frequency of remeshing.

AB - New finite element computational strategies for free-surface flows, two-liquid flows, and flows with drifting cylinders are presented. These strategies are based on the deforming spatial-domain/spacetime (DSD/ST) procedure. In the DSD/ST approach, the stabilized variational formulations for these types of flow problem are written over their space-time domains. One of the important features of the approach is that it enables one to circumvent the difficulty involved in remeshing every time step and thus reduces the projection errors introduced by such frequent remeshings. Computations are performed for various test problems mainly for the purpose of demonstrating the computational capability developed for this class of problems. In some of the test cases, such as the liquid drop problem, surface tension is taken into account. For flows involving drifting cylinders, the mesh moving and remeshing schemes proposed are convenient and reduce the frequency of remeshing.

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U2 - 10.1016/0045-7825(92)90060-W

DO - 10.1016/0045-7825(92)90060-W

M3 - Article

AN - SCOPUS:0026821471

SN - 0045-7825

VL - 94

SP - 353

EP - 371

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 3

ER -