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Title: A Characteristic-Based Spectral Element Method for Moving-Domain Problems

Journal Article · · Journal of Scientific Computing
ORCiD logo [1];  [2];  [1];  [3]
  1. Argonne National Lab. (ANL), Argonne, IL (United States)
  2. Argonne National Lab. (ANL), Argonne, IL (United States); Univ. of Illinois at Urbana-Champaign, IL (United States)
  3. Argonne National Lab. (ANL), Argonne, IL (United States); Aristotle Univ. of Thessaloniki (Greece)
+ Show Author Affiliations

Here, we introduce a characteristic-based numerical procedure for simulating incompressible flows in domains with moving boundaries. Our approach utilizes an operator-integration-factor splitting technique to help produce an efficient and stable numerical scheme. Using the spectral element method and an arbitrary Lagrangian-Eulerian formulation, we explore flows where the convective acceleration effects are non-negligible. Several examples, ranging from laminar to turbulent flows, are considered. Comparisons with a standard, semi-implicit time-stepping procedure illustrate the improved performance of our scheme.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1510253
Journal Information:
Journal of Scientific Computing, Journal Name: Journal of Scientific Computing Journal Issue: 1 Vol. 79; ISSN 0885-7474
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

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97 MATHEMATICS AND COMPUTING
Navier-Stokes equations
Spectral Element Method
arbitrary Lagrangian-Eulerian methods
characteristics
in-cylinder engine flows
operator-integration-factor splitting