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Title: Exponential Time Differencing Gauge Method for Incompressible Viscous Flows

Journal Article · · Communications in Computational Physics
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Abstract In this paper, we study an exponential time differencing method for solving the gauge system of incompressible viscous flows governed by Stokes or Navier-Stokes equations. The momentum equation is decoupled from the kinematic equation at a discrete level and is then solved by exponential time stepping multistep schemes in our approach. We analyze the stability of the proposed method and rigorously prove that the first order exponential time differencing scheme is unconditionally stable for the Stokes problem. We also present a compact representation of the algorithm for problems on rectangular domains, which makes FFT-based solvers available for the resulting fully discretized system. Various numerical experiments in two and three dimensional spaces are carried out to demonstrate the accuracy and stability of the proposed method.

Research Organization:
Univ. of South Carolina, Columbia, SC (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0008087; SC0016540
OSTI ID:
1537204
Journal Information:
Communications in Computational Physics, Vol. 22, Issue 2; ISSN 1815-2406
Publisher:
Global Science Press
Country of Publication:
United States
Language:
English

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Physics