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Mass-Conserving Implicit-Explicit Methods for Coupled Compressible Navier-Stokes Equations [article]

Shinhoo Kang, Emil M. Constantinescu, Hong Zhang, Robert L. Jacob
<span title="2021-05-19">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We show both numerically and theoretically that our IMEX coupling methods are mass conservative for a coupled compressible Navier-Stokes system with the rigid-lid condition.  ...  For a simplified model for the air-sea interaction problem, we consider coupled compressible Navier-Stokes equations with an interface condition.  ...  In this work we propose a set of IMEX-based tight and loose coupling methods for compressible Navier-Stokes (CNS) equations with a rigid-lid coupling condition.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2101.09263v3">arXiv:2101.09263v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zs3qk7syobboxoqqqczgd7e6ru">fatcat:zs3qk7syobboxoqqqczgd7e6ru</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210129055234/https://arxiv.org/pdf/2101.09263v1.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c2/c8/c2c8b2ca0aa3c8b2c5b620fe09af7a300896ecc0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2101.09263v3" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Modelling of Natural Convection Flows with Large Temperature Differences: A Benchmark Problem for Low Mach Number Solvers. Part 2. Contributions to the June 2004 conference

Henri Paillère, Patrick Le Quéré, Catherine Weisman, Jan Vierendeels, Erik Dick, Malte Braack, Frédéric Dabbene, Alberto Beccantini, Etienne Studer, Thibaud Kloczko, Christophe Corre, Vincent Heuveline (+2 others)
<span title="">2005</span> <i title="EDP Sciences"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/khemqsnr2jh7xmtnzbrssdo7fq" style="color: black;">Mathematical Modelling and Numerical Analysis</a> </i> &nbsp;
Solutions of the full compressible Navier-Stokes equations are computed using an explicit third-order discretization for the convective part and a line-implicit central discretization for the acoustic  ...  Corre, CEA Saclay, France and ENSAM/SINUMEF, Paris, France The full compressible Navier-Stokes equations are solved using an implicit Matrix-Free method coupled with a low-Mach number treatment (so-called  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1051/m2an:2005025">doi:10.1051/m2an:2005025</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/icmevsldczdi7le4ijgnuqjmb4">fatcat:icmevsldczdi7le4ijgnuqjmb4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808232954/https://www.esaim-m2an.org/articles/m2an/pdf/2005/03/m2an11EDP.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/25/38/2538a6d8abb869a36b2b198d45c11a3431aeef8a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1051/m2an:2005025"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Page 575 of Mathematical Reviews Vol. , Issue 99a [page]

<span title="">1991</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
factorization method for time-dependent incompressible Navier-Stokes equations in spherical polar coordinates.  ...  Summary: “In this paper a finite-difference method for solving three-dimensional, time-dependent incompressible Navier-Stokes equations in spherical polar coordinates is presented in detail.  ... 
<span class="external-identifiers"> </span>
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A study on efficiency of semi-implicit, density-based solver for simulation of evaporating particle-laden flow

Younghwa CHO, Rahul BALE, Makoto TSUBOKURA, Nobuyuki OSHIMA
<span title="">2021</span> <i title="Japan Society of Mechanical Engineers"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/poxefadhj5gang6bml5asreleu" style="color: black;">Mechanical Engineering Letters</a> </i> &nbsp;
In this solver, the governing equation system is divided into three subsystems (compressible Navier-Stokes, species transport, and Lagrangian), and these subsystems are weakly coupled in two ways.  ...  In this work, we propose a semi-implicit, density-based solver for compressible, evaporating particle-laden flow, and investigate its efficiency.  ...  Acknowledgments This work was carried out as a part of collaborative research between Hokkaido University, RIKEN Center for Computational Science, and Kawasaki Heavy Industries, Ltd.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1299/mel.21-00136">doi:10.1299/mel.21-00136</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ydfgkvhwlbaifgy5in25jv6flm">fatcat:ydfgkvhwlbaifgy5in25jv6flm</a> </span>
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Convergence Acceleration of Iterative Algorithms for Solving Navier–Stokes Equations on Structured Grids [chapter]

Sergey Martynenko
<span title="2011-10-26">2011</span> <i title="InTech"> Hydrodynamics - Optimizing Methods and Tools </i> &nbsp;
Braces mean that the momentum and mass conservation equations are solved only in coupled manner.  ...  Algorithms for Solving Navier-Stokes Equations on Structured Grids Approximation of the mass conservation equations on the staggered grid is given by h y N y ∑ j=1 u (m) ij = 0 , (14) h x N x ∑ i=1 v  ...  Convergence Acceleration of Iterative Algorithms for Solving Navier-Stokes Equations on Structured Grids 21 initial Navier-Stokes equations, i.e.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5772/26220">doi:10.5772/26220</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kuhbrokuu5a37iavmfgq6fsdti">fatcat:kuhbrokuu5a37iavmfgq6fsdti</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190502144608/https://cdn.intechopen.com/pdfs/23098.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/13/f5/13f5441987df5a6318ac033d3a1b787c5e38e9d2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5772/26220"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Study of Conservation on Implicit Techniques for Unstructured Finite Volume Navier-Stokes Solvers

Carlos Junqueira-Junior, Leonardo Costa Scalabrin, Edson Basso, João Luiz F. Azevedo
<span title="2014-09-13">2014</span> <i title="Institute of Aeronautics and Space"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/vw4s7p4fcrc65lneldbyagx7vy" style="color: black;">Journal of Aerospace Technology and Management</a> </i> &nbsp;
The work is a study of conservation on linearization techniques of time-marching schemes for the unstructured finite volume Reynolds-averaged Navier-Stokes formulation.  ...  The work presents results of numerical simulations to evaluate the conservation of implicit and explicit time-marching methods and discusses numerical requirements that can help avoiding such non-conservation  ...  Partial support for the present research was also provided by Fundação de Amparo à Pesquisa do Estado de São Paulo, FAPESP, under Research Grants No. 2013/07375 and No. 2013/21535-0.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5028/jatm.v6i3.371">doi:10.5028/jatm.v6i3.371</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7rsfmejsrzenvi7o7bzccrgd6a">fatcat:7rsfmejsrzenvi7o7bzccrgd6a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180728113334/http://www.scielo.br/pdf/jatm/v6n3/2175-9146-jatm-06-03-0267.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ef/91/ef918a5e8c28935a1d8d8e78ef1486aaae4ef6d5.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5028/jatm.v6i3.371"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Page 1375 of Mathematical Reviews Vol. , Issue 2003B [page]

<span title="">2003</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
We give it a concrete form by noting that a symmetry-preserving discretization of the Navier- Stokes equations is conservative, i.e. it conserves the (total) mass, momentum and kinetic energy (when the  ...  physical dissipation is turned off); a symmetry-preserving discretization of the Navier- Stokes equations is stable on any grid.  ... 
<span class="external-identifiers"> </span>
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Page 7119 of Mathematical Reviews Vol. , Issue 92m [page]

<span title="">1992</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Problems of liquid-liquid type are treated by solving two coupled Navier-Stokes problems for two separate phases.  ...  A. (1-VA-AE) Adaptive implicit /explicit finite element method for compressible viscous flows. Comput. Methods Appl. Mech. Engrg. 95 (1992), no. 3, 397-440.  ... 
<span class="external-identifiers"> </span>
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Page 6293 of Mathematical Reviews Vol. , Issue 96j [page]

<span title="">1996</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
[Srinivas, Karkenahalli] (5-SYD; Sydney) An explicit finite volume spatial marching method for reduced Navier-Stokes equations. (English summary) Internat. J. Numer.  ...  (I-ROME-MA; Rome) Numerical aspects of the solution of the non-conservative Navier-Stokes equations for high speed flows. (English summary) Internat. J. Appl. Sci. Comput. 2 (1996), no. 3, 437-451.  ... 
<span class="external-identifiers"> </span>
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On meshfree GFDM solvers for the incompressible Navier–Stokes equations

Pratik Suchde, Jörg Kuhnert, Sudarshan Tiwari
<span title="">2018</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wp3g5bo4ojczdinvl7cavuwkq4" style="color: black;">Computers &amp; Fluids</a> </i> &nbsp;
Meshfree solution schemes for the incompressible Navier--Stokes equations are usually based on algorithms commonly used in finite volume methods, such as projection methods, SIMPLE and PISO algorithms.  ...  In this paper, we study the drawbacks of conventionally used meshfree Generalized Finite Difference Method~(GFDM) schemes for Lagrangian incompressible Navier-Stokes equations, both operator splitting  ...  Existing meshfree GFDM algorithms for the incompressible Navier-Stokes equations We consider the incompressible Navier-Stokes equations in Lagrangian form.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.compfluid.2018.01.008">doi:10.1016/j.compfluid.2018.01.008</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/arox72iowjcnlkd6bzacned5cu">fatcat:arox72iowjcnlkd6bzacned5cu</a> </span>
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Implicit Large Eddy Simulation of Cavitation in Micro Channel Flows [article]

S Hickel, M. Mihatsch, S.J. Schmidt
<span title="2014-01-25">2014</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
While a diesel-like test fuel was used in the experiment, we solve the compressible Navier-Stokes equations with a barotropic equation of state for water and vapor and a simple phase-change model based  ...  We present a numerical method for Large Eddy Simulations (LES) of compressible two-phase flows. The method is validated for the flow in a micro channel with a step-like restriction.  ...  ACKNOWLEDGMENTS We would like to thank Christian Egerer for visualizing the computational results. Simulations were performed at the Leibniz-Rechenzentrum München (LRZ).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1401.6548v1">arXiv:1401.6548v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/x7kiorjrnjadtmxkwboin3f5aa">fatcat:x7kiorjrnjadtmxkwboin3f5aa</a> </span>
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A Semi-Explicit Multi-Step Method for Solving Incompressible Navier-Stokes Equations

Pavel Ryzhakov, Julio Marti
<span title="2018-01-16">2018</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/smrngspzhzce7dy6ofycrfxbim" style="color: black;">Applied Sciences</a> </i> &nbsp;
Purely explicit schemes cannot be applied to incompressible Navier-Stokes equations due to the implicit nature of the pressure.  ...  The fractional step method is a technique that results in a computationally-efficient implementation of Navier-Stokes solvers.  ...  Ryzhakov implemented the multi-step method. J. Marti implemented the pressure correction. The accuracy analysis has been done by J.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/app8010119">doi:10.3390/app8010119</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/s2hhcki655g5pcjskppxpk6ugu">fatcat:s2hhcki655g5pcjskppxpk6ugu</a> </span>
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An implicit discontinuous Galerkin method for the unsteady compressible Navier–Stokes equations

Hong Luo, Hidehiro Segawa, Miguel R. Visbal
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wp3g5bo4ojczdinvl7cavuwkq4" style="color: black;">Computers &amp; Fluids</a> </i> &nbsp;
A high-order implicit discontinuous Galerkin method is developed for the time-accurate solutions to the compressible Navier-Stokes equations.  ...  In recent years, significant progress has been made in developing numerical algorithms for solving the compressible Euler and Navier-Stokes equations using discontinuous Galerkin methods.  ...  Acknowledgments The first author would like to acknowledge the partial support for this work provided by the Air Force Summer faculty Fellowship Program, while he was in residence at Computational Sciences  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.compfluid.2011.10.009">doi:10.1016/j.compfluid.2011.10.009</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3qwgawmmpjh4fcc4u2mtywtnhy">fatcat:3qwgawmmpjh4fcc4u2mtywtnhy</a> </span>
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An overset mesh approach for 3D mixed element high-order discretizations

Michael J. Brazell, Jayanarayanan Sitaraman, Dimitri J. Mavriplis
<span title="">2016</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/f7kkigxhzjakref5b42jt4uoya" style="color: black;">Journal of Computational Physics</a> </i> &nbsp;
7 A parallel high-order Discontinuous Galerkin (DG) method is used to solve the compressible Navier-Stokes equations in an overset mesh framework.  ...  Streamline/upwind Petrov-38 Galerkin (SUPG) has been used to solve the two-dimensional, compressible, 39 Navier-Stokes equations along with the Reynolds Averaged Navier-Stokes 40 (RANS) equations on steady  ...  The Navier-Stokes equations govern the dynamics of compressible fluids and are given as: ∂U k ∂t + ∂F ki ∂x i = 0 (1) where they represent the conservation of mass, momentum, and energy.  ... 
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<span title="">2004</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Busse, The problem of turbulence and the manifold of asymptotic solutions of the Navier-Stokes equations (77-121); David McComb, Renormalization methods applied to turbulence theory (123-195); Claude Cambon  ...  Reksoprodjo, Implicit kinetic schemes for the Euler and the ideal magnetohy- drodynamics equations (401-406).  ... 
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