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Non-overlapping High-accuracy Parallel Closure for Compact Schemes: Application in Multiphysics and Complex Geometry

Non-overlapping High-accuracy Parallel Closure for Compact Schemes: Application in Multiphysics... Compact schemes are often preferred in performing scientific computing for their superior spectral resolution. Error-free parallelization of a compact scheme is a challenging task due to the requirement of additional closures at the inter-processor boundaries. Here, sources of the error due to sub-domain boundary closures for the compact schemes are analyzed with global spectral analysis. A high-accuracy parallel computing strategy devised in “ A high-accuracy preserving parallel algorithm for compact schemes for DNS. ACM Trans. Parallel Comput. 7, 4, 1-32 (2020)” systematically eliminates error due to parallelization and does not require overlapping points at the sub-domain boundaries. This closure is applicable for any compact scheme and is termed here as non-overlapping high-accuracy parallel (NOHAP) sub-domain boundary closure. In the present work, the advantages of the NOHAP closure are shown with the model convection equation and by solving the compressible Navier–Stokes equation for three-dimensional Rayleigh–Taylor instability simulations involving multiphysics dynamics and high Reynolds number flow past a natural laminar flow airfoil using a body-conforming curvilinear coordinate system. Linear scalability of the NOHAP closure is shown for the large-scale simulations using up to 19,200 processors. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ACM Transactions on Parallel Computing Association for Computing Machinery

Non-overlapping High-accuracy Parallel Closure for Compact Schemes: Application in Multiphysics and Complex Geometry

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Publisher
Association for Computing Machinery
Copyright
Copyright © 2023 Copyright held by the owner/author(s). Publication rights licensed to ACM.
ISSN
2329-4949
eISSN
2329-4957
DOI
10.1145/3580005
Publisher site
See Article on Publisher Site

Abstract

Compact schemes are often preferred in performing scientific computing for their superior spectral resolution. Error-free parallelization of a compact scheme is a challenging task due to the requirement of additional closures at the inter-processor boundaries. Here, sources of the error due to sub-domain boundary closures for the compact schemes are analyzed with global spectral analysis. A high-accuracy parallel computing strategy devised in “ A high-accuracy preserving parallel algorithm for compact schemes for DNS. ACM Trans. Parallel Comput. 7, 4, 1-32 (2020)” systematically eliminates error due to parallelization and does not require overlapping points at the sub-domain boundaries. This closure is applicable for any compact scheme and is termed here as non-overlapping high-accuracy parallel (NOHAP) sub-domain boundary closure. In the present work, the advantages of the NOHAP closure are shown with the model convection equation and by solving the compressible Navier–Stokes equation for three-dimensional Rayleigh–Taylor instability simulations involving multiphysics dynamics and high Reynolds number flow past a natural laminar flow airfoil using a body-conforming curvilinear coordinate system. Linear scalability of the NOHAP closure is shown for the large-scale simulations using up to 19,200 processors.

Journal

ACM Transactions on Parallel Computing – Association for Computing Machinery

Published: Mar 29, 2023

Keywords: Global spectral analysis

References

  • A high resolution hybrid compact-ENO scheme for shock turbulence interaction problem
    [,
  • Second Coefficient of Viscosity in Air
    [,
  • Direct Numerical Simulation of Noise-generation Mechanisms in the Mixing Layer of a Jet
    [,
  • Direct numerical simulation of shear flow phenomena on parallel vector computers
    [,
  • An improved orthogonal grid generation method for solving flows past highly cambered aerofoils with and without roughness elements
    [,
  • Precursor of transition to turbulence: Spatiotemporal wave front
    [,
  • Roles of bulk viscosity on transonic shock-wave/boundary layer interaction
    [,
  • A linear focusing mechanism for dispersive and non-dispersive wave problems
    [,
  • A dispersion relation preserving optimized upwind compact difference scheme for high accuracy flow simulations
    [,
  • A conservative overlap method for multi-block parallelization of compact finite-volume schemes
    [,
  • A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy, NASA/CR-1998-206921, ICASE Report No
    [,
  • Controlling transonic shock– boundary layer interactions over a natural laminar flow airfoil by vortical and thermal excitation
    [,
  • A massively parallel multi-block hybrid compact-WENO scheme for compressible flows
    [,
  • A three-point combined compact difference scheme
    [,
  • Symmetrized compact scheme for receptivity study of 2D transitional channel flow
    [,
  • Optimized interface conditions for domain decomposition methods in fluid dynamics
    [,
  • An improved parallel compact scheme for domain-decoupled simulation of turbulence
    [,
  • A parallel compact-TVD method for compressible fluid dynamics employing shared and distributed-memory paradigms
    [,
  • Natural-laminar-flow airfoil development for a lightweight business jet
    [,
  • Computational Fluid Dynamics
    [,
  • Numerical solution of the Euler equations by finite volume methods using Runge-Kutta time stepping schemes
    [,
  • Direct numerical simulations of film cooling in a supersonic boundary-layer flow on massively-parallel supercomputers
    [,
  • DNS of effusion cooling in a supersonic boundary-layer flow: Influence of turbulence
    [,
  • Optimised boundary compact finite difference schemes for computational aeroacustics
    [,
  • Quasi-disjoint pentadiagonal matrix system for the parallelization of compact finite-difference schemes and filters
    [,
  • Efficient parallel computing with a compact finite difference scheme
    [,
  • A robust high-resolution split-type compact FD scheme for spatial direct numerical simulation of boundary-layer transition
    [,
  • Compact schemes with spatial filtering in computational aeroacoustics
    [,
  • High-order compact schemes for incompressible flows: A simple and efficient method with quasi-spectral accuracy
    [,
  • Compact finite difference schemes with spectral-like resolution
    [,
  • On the Schwarz alternating method III: A variant for nonoverlapping subdomains
    [,
  • Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations
    [,
  • A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
    [,
  • Stability of interpolation on overlapping grids
    [,
  • Domain Decomposition Methods For Partial Differential Equations
    [,
  • Experimental investigation of turbulent mixing by Rayleigh–Taylor instability
    [,
  • Role of non–zero bulk viscosity in three– dimensional Rayleigh–Taylor instability: Beyond Stokes’ hypothesis
    [,
  • Three–dimensional direct numerical simulation of Rayleigh–Taylor instability triggered by acoustic excitation
    [,
  • High Accuracy Computing Methods: Fluid Flows and Wave Phenomena
    [,
  • Direct numerical simulation of 2D transonic flows around airfoils
    [,
  • Comparative study of transonic shock–boundary layer interactions due to surface heating and cooling on an airfoil
    [,
  • A new compact scheme for parallel computing using domain decomposition
    [,
  • Analysis of central and upwind compact schemes
    [,
  • High accuracy compact schemes and Gibbs’ phenomenon
    [,
  • A new combined stable and dispersion relation preserving compact scheme for non-periodic problems
    [,
  • Space-time discretizing optimal DRP schemes for flow and wave propagation problems
    [,
  • Analysis of anisotropy of numerical wave solutions by high accuracy finite difference methods
    [,
  • Thermal control of transonic shock–boundary layer interaction over a natural laminar flow airfoil
    [,
  • Roles of bulk viscosity on Rayleigh–Taylor instability: Non–equilibrium thermodynamics due to spatio–temporal pressure fronts
    [,
  • A high accuracy preserving parallel algorithm for compact schemes for DNS
    [,
  • Further improvement and analysis of CCD scheme: Dissipation discretization and de-aliasing properties
    [,
  • Domain Decomposition, Parallel Multilevel Methods for Elliptic Partial Differential Equations
    [,
  • Spectral analysis of finite difference schemes for convection diffusion equation
    [,
  • A non–overlapping high accuracy parallel subdomain closure for compact scheme: Onset of Rayleigh–Taylor instability by ultrasonic waves
    [,
  • Flow control using single dielectric barrier discharge plasma actuator for flow over airfoil
    [,
  • Dispersion-relation-preserving finite difference schemes for computational acoustics
    [,
  • Fourier Analysis of Numerical Approximations of Hyperbolic Equations
    [,
  • On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
    [,
  • Large-eddy simulation on curvilinear grids using compact differencing and filtering schemes
    [,
  • Linear and Nonlinear Waves
    [,