APPLICATION OF THE HIGH ACCURATE TIME INTEGRATION SCHEME TO SOLUTION PROCEDURE OF THE NAVIER-STOKES EQUATIONS

Proceedings of the Japan Society of Civil Engineers ◽

10.2208/jscej1969.1982.326_29 ◽

1982 ◽

Vol 1982 (326) ◽

pp. 29-40

Author(s):

Yutaka YOSHIDA ◽

Takashi NOMURA

Keyword(s):

Stokes Equations ◽

Time Integration ◽

Solution Procedure ◽

Navier Stokes ◽

Integration Scheme ◽

Navier Stokes Equations ◽

Time Integration Scheme

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Algorithm for a cost-reducing time-integration scheme for solving incompressible Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113546 ◽

2021 ◽

Vol 373 ◽

pp. 113546

Author(s):

Philsu Kim ◽

Soyoon Bak

Keyword(s):

Stokes Equations ◽

Time Integration ◽

Navier Stokes ◽

Integration Scheme ◽

Navier Stokes Equations ◽

Time Integration Scheme

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Solution to transient Navier-Stokes equations by the coupling of differential quadrature time integration scheme with dual reciprocity boundary element method

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1821 ◽

2009 ◽

Vol 59 (2) ◽

pp. 215-234 ◽

Author(s):

C. Bozkaya ◽

M. Tezer-Sezgin

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Stokes Equations ◽

Time Integration ◽

Differential Quadrature ◽

Navier Stokes ◽

Integration Scheme ◽

Navier Stokes Equations ◽

Time Integration Scheme ◽

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Evaluation of an effective and robust implicit time-integration numerical scheme for Navier-Stokes equations in a CFD solver for compressible flows

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126612 ◽

2022 ◽

Vol 413 ◽

pp. 126612

Author(s):

A.A.G. Maia ◽

D.F. Cavalca ◽

J.T. Tomita ◽

F.P. Costa ◽

C. Bringhenti

Keyword(s):

Numerical Scheme ◽

Compressible Flows ◽

Stokes Equations ◽

Time Integration ◽

Navier Stokes ◽

Implicit Time ◽

Navier Stokes Equations ◽

Implicit Time Integration

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A Family of Highly Accurate Superstable Time Integration Algorithms of Implicit Two Step and Their Application to Solution of the Navier-Stokes Equations.

Doboku Gakkai Ronbunshu ◽

10.2208/jscej.1998.591_111 ◽

1998 ◽

pp. 111-123

Author(s):

Yutaka Yoshida ◽

Wen-Ping Yuan ◽

Seiichiro Uochi

Keyword(s):

Stokes Equations ◽

Time Integration ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Integration Algorithms

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On pressure–velocity coupled time-integration of incompressible Navier–Stokes equations using direct inversion of Stokes operator or accelerated multigrid technique

Computers & Structures ◽

10.1016/j.compstruc.2009.01.013 ◽

2009 ◽

Vol 87 (11-12) ◽

pp. 710-720 ◽

Author(s):

Yuri Feldman ◽

Alexander Yu. Gelfgat

Keyword(s):

Stokes Equations ◽

Time Integration ◽

Stokes Operator ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Direct Inversion

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Implicit Time Integration of Discontinuous Galerkin Approximations to the Navier-Stokes Equations

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-0774 ◽

2020 ◽

Author(s):

Luigi Martinelli ◽

Mark Lohry

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Time Integration ◽

Navier Stokes ◽

Implicit Time ◽

Navier Stokes Equations ◽

Implicit Time Integration ◽

Galerkin Approximations

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Higher Order Time Integration Schemes for the Unsteady Navier-Stokes Equations on Unstructured Meshes

32nd AIAA Fluid Dynamics Conference and Exhibit ◽

10.2514/6.2002-2734 ◽

2002 ◽

Author(s):

Giridhar Jothiprasad ◽

Dimitri Mavriplis ◽

David Caughey

Keyword(s):

Stokes Equations ◽

Time Integration ◽

Unstructured Meshes ◽

Higher Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Integration Schemes ◽

Time Integration Schemes

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Implicit Time Integration Schemes for the Unsteady Compressible Navier–Stokes Equations: Laminar Flow

Journal of Computational Physics ◽

10.1006/jcph.2002.7059 ◽

2002 ◽

Vol 179 (1) ◽

pp. 313-329 ◽

Author(s):

Hester Bijl ◽

Mark H. Carpenter ◽

Veer N. Vatsa ◽

Christopher A. Kennedy

Keyword(s):

Laminar Flow ◽

Stokes Equations ◽

Time Integration ◽

Navier Stokes ◽

Implicit Time ◽

Navier Stokes Equations ◽

Integration Schemes ◽

Implicit Time Integration ◽

Time Integration Schemes

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Unstructured Dynamic Meshes with Higher-order Time Integration Schemes for the Unsteady Navier-Stokes Equations

43rd AIAA Aerospace Sciences Meeting and Exhibit ◽

10.2514/6.2005-1222 ◽

2005 ◽

Author(s):

Zhi Yang ◽

Dimitri Mavriplis

Keyword(s):

Stokes Equations ◽

Time Integration ◽

Higher Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Integration Schemes ◽

Time Integration Schemes

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Computational Analysis of Characteristics and Mach Number Effects on Noise Emission From Ideally Expanded Highly Supersonic Free-Jet

Volume 2: Fora, Parts A and B ◽

10.1115/fedsm2007-37539 ◽

2007 ◽

Author(s):

Taku Nonomura ◽

Kozo Fujii

Keyword(s):

Mach Number ◽

Stokes Equations ◽

Acoustic Noise ◽

Time Integration ◽

Three Dimensional ◽

Integration Scheme ◽

Noise Emission ◽

Sonic Jet ◽

Time Integration Scheme ◽

In this study, aero-acoustic noise from super-sonic jet plume is computationally investigated. Three-dimensional Navier-Stokes equations are solved with seventh order weighted compact non-linear scheme and total validation diminishing Runge-Kutta time integration scheme. At first, the noise from Mach 2.0 ideally expanded super-sonic jet is computed and validated with the past experimental study. Then the noises from various Mach number (2.0–3.5) ideally expanded jet plumes are computed. Noise source positions, directivity and convective Mach numbers are discussed.

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