TY - JOUR
T1 - A Characteristic-Based Spectral Element Method for Moving-Domain Problems
AU - Patel, Saumil
AU - Fischer, Paul
AU - Min, Misun
AU - Tomboulides, Ananias
N1 - Funding Information:
Acknowledgements This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, under Contract DE-AC02-06CH11357. The research also used resources of the Argonne Leadership Computing Facility, which is supported by the U.S. Department iof Energy, Office of Science, under Contract DE-AC02-06CH11357.
Publisher Copyright:
© 2018, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2019/4/1
Y1 - 2019/4/1
N2 - In this paper, we present 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 investigate 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.
AB - In this paper, we present 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 investigate 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.
KW - Arbitrary Lagrangian–Eulerian methods
KW - Characteristics
KW - In-cylinder engine flows
KW - Navier–Stokes equations
KW - Operator- integration-factor splitting
KW - Spectral element method
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U2 - 10.1007/s10915-018-0876-6
DO - 10.1007/s10915-018-0876-6
M3 - Article
AN - SCOPUS:85058065633
SN - 0885-7474
VL - 79
SP - 564
EP - 592
JO - Journal of Scientific Computing
JF - Journal of Scientific Computing
IS - 1
ER -