HIGHER ORDER GALERKIN TECHNIQUES IN VISCOELASTIC FLOWSIMULATION
Publish place: International Conference on Engineering Applications
Publish Year: 1371
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ICEAP01_041
تاریخ نمایه سازی: 25 دی 1402
Abstract:
A persistent problem in viscoelastic liquid flow simulation through a variety of flow ge ometries is the loss of convergence of numerical methods at high values of the characteristic Deborah number, which is the consequence of a change of type of the governing equations (i.e., from elliptic to hyperbolic). In this paper we demonstrate that, for this class of ellip- tic/hyperbolic problems, the p- and Ap-version of the finite element method provide a stable discretization. For Stokes flow problems, exponential convergence is obtained, while for lami nar Navier-Stokes problems, effective error indicators enable the use of an adaptive scheme to provide similar convergence. Viscoelastic fluid flow is considered for UCM and OLD-B fluids past a square arrangement of long, rigid, motionless cylinders, and are compared with exper-imental measurements, which show an excessive pressure drop attributed to elastic effects.
Authors
Barnin Khomami
Department of Chemical EngineeringWashington University, Saint LouisMO ۶۳۱۳۰, U.S.A.
Kapil K. Talwar
Department of Chemical EngineeringWashington University, Saint LouisMO ۶۳۱۳۰, U.S.A.