skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1510253
Journal Information:
Journal of Scientific Computing, Vol. 79, Issue 1; ISSN 0885-7474
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

References (30)

On the transport-diffusion algorithm and its applications to the Navier-Stokes equations journal October 1982
A Sharp Interface Cartesian Grid Method for Simulating Flows with Complex Moving Boundaries journal November 2001
Direct numerical simulation of multiple cycles in a valve/piston assembly journal March 2014
Large Eddy Simulation (LES) for IC Engine Flows
  • Kuo, Tang-Wei; Yang, Xiaofeng; Gopalakrishnan, Venkatesh
  • Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles, Vol. 69, Issue 1 https://doi.org/10.2516/ogst/2013127
journal October 2013
Stabilization of the Spectral Element Method in Convection Dominated Flows by Recovery of Skew-Symmetry journal March 2013
Two Comments on Filtering (Artificial Viscosity) for Chebyshev and Legendre Spectral and Spectral Element Methods: Preserving Boundary Conditions and Interpretation of the Filter as a Diffusion journal June 1998
TCC-III Engine Benchmark for Large-Eddy Simulation of IC Engine Flows journal October 2015
An Operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow journal December 1990
A new strategy for finite element computations involving moving boundaries and interfaces—The deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders journal February 1992
Boundary conditions for incompressible flows journal January 1986
A 3D adaptive mesh moving scheme journal January 2007
Fluid Mechanics of Internal Combustion Engines—a Review journal January 1987
Investigation of wall heat transfer and thermal stratification under engine-relevant conditions using DNS journal June 2015
Flow along a channel with a time-dependent indentation in one wall: the generation of vorticity waves journal November 1985
A high-order Lagrangian-decoupling method for the incompressible Navier-Stokes equations journal June 1990
Scalable Low-Order Finite Element Preconditioners for High-Order Spectral Element Poisson Solvers journal January 2019
Petascale algorithms for reactor hydrodynamics journal July 2008
High-Order Methods for Incompressible Fluid Flow book January 2009
A Legendre spectral element method for simulation of unsteady incompressible viscous free-surface flows journal June 1990
An Analysis of the Fractional Step Method journal September 1993
Fast Parallel Direct Solvers for Coarse Grid Problems journal February 2001
A spectral element method for fluid dynamics: Laminar flow in a channel expansion journal June 1984
Flow in a channel with a moving indentation journal May 1988
An Overlapping Schwarz Method for Spectral Element Solution of the Incompressible Navier–Stokes Equations journal May 1997
Hybrid Multigrid/Schwarz Algorithms for the Spectral Element Method journal July 2005
Filter-based stabilization of spectral element methods journal February 2001
Projection techniques for iterative solution of with successive right-hand sides journal September 1998
A new strategy for finite element computations involving moving boundaries and interfaces—The deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests journal February 1992
Finite volume method for prediction of fluid flow in arbitrarily shaped domains with moving boundaries journal May 1990
A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems journal July 1997

Similar Records

An Operator-Integration-Factor Splitting (OIFS) method for Incompressible Flows in Moving Domains
Technical Report · Sat Oct 21 00:00:00 EDT 2017 · OSTI ID:1510253
+1 more
A massively-parallel, unstructured overset method to simulate moving bodies in turbulent flows
Journal Article · Fri Jul 12 00:00:00 EDT 2019 · Journal of Computational Physics · OSTI ID:1510253
Three-dimensional local ALE-FEM method for fluid flow in domains containing moving boundaries/objects interfaces
Journal Article · Thu Mar 05 00:00:00 EST 2015 · International Journal for Numerical Methods in Fluids · OSTI ID:1510253
+1 more

Related Subjects

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