A high-order diffused-interface approach for fully compressible two-phase flow simulations using a Discontinuous Galerkin method

[1]  L. Vervisch,et al.  Turbulence kinetic energy transfers in direct numerical simulation of shock-wave–turbulence interaction in a compression/expansion ramp , 2022, Journal of Fluid Mechanics.

[2]  F. Witherden,et al.  Positivity-Preserving Entropy-Based Adaptive Filtering for Discontinuous Spectral Element Methods , 2022, J. Comput. Phys..

[3]  J. Bakosi,et al.  A THINC-DG Method for Multi-Material Fluid Flow , 2022, AIAA SCITECH 2022 Forum.

[4]  M. Ihme,et al.  Quail: A lightweight open-source discontinuous Galerkin code in Python for teaching and prototyping , 2022, SoftwareX.

[5]  L. Vervisch,et al.  Analysis of High-order Explicit LES Dynamic Modeling Applied to Airfoil Flows , 2021, Flow, Turbulence and Combustion.

[6]  Luc Vervisch,et al.  A Comparative Study from Spectral Analyses of High-Order Methods with Non-Constant Advection Velocities , 2021, Journal of Scientific Computing.

[7]  M. Ihme,et al.  A discontinuous Galerkin method for wall-modeled large-eddy simulations , 2021 .

[8]  Matthias Ihme,et al.  Efficient projection kernels for discontinuous Galerkin simulations of disperse multiphase flows on arbitrary curved elements , 2021, J. Comput. Phys..

[9]  Jian Cheng,et al.  A Quasi-Conservative Discontinuous Galerkin Method for Solving Five Equation Model of Compressible Two-Medium Flows , 2020, Journal of Scientific Computing.

[10]  Matthias Ihme,et al.  A two-way coupled Euler-Lagrange method for simulating multiphase flows with discontinuous Galerkin schemes on arbitrary curved elements , 2020, J. Comput. Phys..

[11]  E. Ferrer,et al.  Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system , 2019, J. Comput. Phys..

[12]  Robert Michael Kirby,et al.  Nektar++: enhancing the capability and application of high-fidelity spectral/hp element methods , 2019, Comput. Phys. Commun..

[13]  Peter A. Gnoffo,et al.  Shock capturing for discontinuous Galerkin methods with application to predicting heat transfer in hypersonic flows , 2019, J. Comput. Phys..

[14]  Oleg V. Vasilyev,et al.  Stabilized conservative level set method , 2018, J. Comput. Phys..

[15]  J. Regele,et al.  A localized artificial diffusivity method to simulate compressible multiphase flows using the stiffened gas equation of state , 2018, International Journal for Numerical Methods in Fluids.

[16]  Spencer J. Sherwin,et al.  Spatial eigensolution analysis of discontinuous Galerkin schemes with practical insights for under-resolved computations and implicit LES , 2017, Computers & Fluids.

[17]  Jean-François Boussuge,et al.  Revisiting the spectral analysis for high-order spectral discontinuous methods , 2017, J. Comput. Phys..

[18]  Timothy C. Warburton,et al.  A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method , 2016, Comput. Math. Appl..

[19]  Spencer J. Sherwin,et al.  Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/hp methods , 2015, J. Comput. Phys..

[20]  Robert Michael Kirby,et al.  Nektar++: An open-source spectral/hp element framework , 2015, Comput. Phys. Commun..

[21]  Tongchun Li,et al.  Improved conservative level set method , 2014 .

[22]  C. Hirsch,et al.  A High-Order Discontinuous Galerkin Method for External Aerodynamics , 2014 .

[23]  Freddie D. Witherden,et al.  PyFR: An open source framework for solving advection-diffusion type problems on streaming architectures using the flux reconstruction approach , 2013, Comput. Phys. Commun..

[24]  Carlos Pantano,et al.  A diffuse interface model with immiscibility preservation , 2013, J. Comput. Phys..

[25]  Olivier Desjardins,et al.  A discontinuous Galerkin conservative level set scheme for interface capturing in multiphase flows , 2013, J. Comput. Phys..

[26]  Antony Jameson,et al.  Insights from von Neumann analysis of high-order flux reconstruction schemes , 2011, J. Comput. Phys..

[27]  Antony Jameson,et al.  A New Class of High-Order Energy Stable Flux Reconstruction Schemes , 2011, J. Sci. Comput..

[28]  J. Freund,et al.  An interface capturing method for the simulation of multi-phase compressible flows , 2010, J. Comput. Phys..

[29]  Richard Saurel,et al.  Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures , 2009, J. Comput. Phys..

[30]  Ralf Hartmann,et al.  An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations , 2008, J. Comput. Phys..

[31]  Chris Lacor,et al.  On the Stability and Accuracy of the Spectral Difference Method , 2008, J. Sci. Comput..

[32]  Heinz Pitsch,et al.  An accurate conservative level set/ghost fluid method for simulating turbulent atomization , 2008, J. Comput. Phys..

[33]  H. T. Huynh,et al.  A Flux Reconstruction Approach to High-Order Schemes Including Discontinuous Galerkin Methods , 2007 .

[34]  Gunilla Kreiss,et al.  A conservative level set method for two phase flow II , 2005, J. Comput. Phys..

[35]  Eric Johnsen,et al.  Implementation of WENO schemes in compressible multicomponent flow problems , 2005, J. Comput. Phys..

[36]  C. Bogey,et al.  A family of low dispersive and low dissipative explicit schemes for flow and noise computations , 2004 .

[37]  Grégoire Allaire,et al.  A five-equation model for the simulation of interfaces between compressible fluids , 2002 .

[38]  W. Rider,et al.  Reconstructing Volume Tracking , 1998 .

[39]  Chi-Wang Shu,et al.  The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V , 1998 .

[40]  John H. Kolias,et al.  A CONSERVATIVE STAGGERED-GRID CHEBYSHEV MULTIDOMAIN METHOD FOR COMPRESSIBLE FLOWS , 1995 .

[41]  J. Cahn,et al.  A microscopic theory for antiphase boundary motion and its application to antiphase domain coasening , 1979 .

[42]  J. E. Hilliard,et al.  Free Energy of a Nonuniform System. I. Interfacial Free Energy , 1958 .

[43]  Changhong Hu,et al.  A high order flux reconstruction interface capturing method with a phase field preconditioning procedure , 2021, J. Comput. Phys..

[44]  Eric Johnsen,et al.  A new limiting procedure for discontinuous Galerkin methods applied to compressible multiphase flows with shocks and interfaces , 2015, J. Comput. Phys..

[45]  Pao-Hsiung Chiu,et al.  A conservative phase field method for solving incompressible two-phase flows , 2011, J. Comput. Phys..

[46]  Ying Sun,et al.  Sharp interface tracking using the phase-field equation , 2007, J. Comput. Phys..

[47]  DeBar.  Fundamentals of the KRAKEN code. [Eulerian hydrodynamics code for compressible nonviscous flow of several fluids in two-dimensional (axially symmetric) region] , 1974 .

[48]  A. A. Amsden,et al.  FLUID DYNAMICS. A LASL Monograph. , 1971 .