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An unconditionally stable fully conservative semi-Lagrangian method

Michael Lentine, Jón Tómas Grétarsson, Ronald Fedkiw
2011 Journal of Computational Physics  
Since these schemes are based on characteristic tracing and interpolation, they do not readily lend themselves to a fully conservative implementation.  ...  In addition, we propose a new second step that forward advects any of the conserved quantity that was not accounted for in the typical semi-Lagrangian advection.  ...  For fluid cells which lie along the fluid-structure interface, pressure acts as a momentum flux from the fluid cell faces to the solid, and vice versa.  ... 
doi:10.1016/ fatcat:jaa6lp26i5divk5jg3siusy57u

The Consistent Multi-fluid Advection method [article]

Tomasz Plewa, Ewald Mueller
1998 arXiv   pre-print
Simple modifications for higher-order Godunov-type difference schemes are presented which allow for accurate advection of multi-fluid flows in hydrodynamic simulations.  ...  It is shown that due to the reduced diffusivity of the proposed scheme the abundance of some heavy elements obtained from hydrodynamic simulations of type II supernova explosions can change by a factor  ...  The major part of the simulations was performed on the RISC cluster of the MPA, and on the SGI Power Challenge at the Interdisciplinary Centre for Computational Modelling in Warsaw.  ... 
arXiv:astro-ph/9807241v2 fatcat:3nte77a4xng2pc73xjimvhuuka

Page 314 of American Society of Civil Engineers. Collected Journals Vol. 126, Issue 4 [page]

2000 American Society of Civil Engineers. Collected Journals  
EVALUATION OF ADVECTION SCHEMES FOR ESTUARY TRANSPORT Discussion by Steve G. Wallis* and J.  ...  Of particular note is that for steady, uniform pure advection exactly the same algorithm as QUICKEST is obtained using either cubic interpolation with a nonconserva- tive EL method or using quadratic interpolation  ... 

Simulation of supercritical diesel jets using the PC-SAFT EoS

C. Rodriguez, P. Koukouvinis, M. Gavaises
2019 Journal of Supercritical Fluids  
A B S T R A C T A numerical framework has been developed to simulate supercritical Diesel injection using a compressible density-based solver of the Navier-Stokes equations along with the conservative  ...  Multi-component fuel-air mixing is simulated by considering a diffused interface approximation.  ...  In [9] the authors performed a two-dimensional large-eddy simulation (LES) of supercritical mixing and combustion employing a fourth-order flux-differencing scheme and a total-variation-diminishing (  ... 
doi:10.1016/j.supflu.2018.11.003 fatcat:iohuvqhdqza3rmulzvfshfr4la

Page 765 of American Society of Civil Engineers. Collected Journals Vol. 124, Issue 7 [page]

1998 American Society of Civil Engineers. Collected Journals  
REFINED NUMERICAL SCHEME FOR ADVECTIVE TRANSPORT IN DIFFUSION SIMULATION* Discussion by J. Russell Manson,‘ Associate Member, ASCE, and Steve G.  ...  The former is based on quadratic interpolation, which will only provide sec- ond-order accuracy, while the latter is based on cubic Hermite interpolation, producing a third-order accurate scheme for con  ... 

Adaptive Meshfree Method of Backward Characteristics for Nonlinear Transport Equations [chapter]

Jörn Behrens, Armin Iske, Martin Käser
2003 Lecture Notes in Computational Science and Engineering  
In previous work, a new adaptive meshfree advection scheme for numerically solving linear transport equations has been proposed.  ...  two-phase fluid flow in a porous medium.  ...  Acknowledgment The second and third author were partly supported by the European Union within the project NetAGES (Network for Automated Geometry Extraction from Seismic), contract no. IST-1999-29034.  ... 
doi:10.1007/978-3-642-56103-0_2 fatcat:xhtgtq52xfcy3greogntlz7afa

A Staggered Scheme for the Compressible Fluctuating Hydrodynamics of Multispecies Fluid Mixtures [article]

Ishan Srivastava, Daniel R. Ladiges, Andy J. Nonaka, Alejandro L. Garcia, John B. Bell
2022 arXiv   pre-print
We present a numerical formulation for the solution of non-isothermal, compressible, Navier-Stokes equations with thermal fluctuations to describe mesoscale transport phenomena in multispecies fluid mixtures  ...  The staggered grid scheme more accurately reproduces the equilibrium static structure factor of hydrodynamic fluctuations in gas mixtures compared to a collocated scheme described previously in Balakrishnan  ...  The first scheme (method A) corresponds to Eq. 27 of the main text for discretizing the advective fluxes of energy and species density.  ... 
arXiv:2209.11292v1 fatcat:yblkqnin2zf2rjmhhqj3pr3wt4


2008 TASK Quarterly  
is used for calculation of the fluxes for the remaining cases.  ...  The method presented in the article may be considered as an intermediate approach between PLIC and SLIC – fluxes are computed directly only for the interface's special orientations and linear interpolation  ...  A great advantage of the SVOF approach is that interpolated fluxes are calculated in the same manner as in the 2D scheme.  ... 
doaj:599ae3da244b432baa497db335f411b9 fatcat:ohjrcp5noze6rjgnolvd3bavja

A conservative and non-oscillatory scheme for Vlasov code simulations

Takayuki Umeda
2008 Earth, Planets and Space  
In this paper we propose a new high-order interpolation scheme for Vlasov simulations. The current scheme is non-oscillatory and conservative and is well-designed for Vlasov simulations.  ...  A new numerical positive interpolation technique for conservation laws and its application to Vlasov code simulations are presented.  ...  This work was also carried out as a collaborative computational research project at Solar-Terrestrial Environment Laboratory, Nagoya University.  ... 
doi:10.1186/bf03352826 fatcat:qkh6rsoxxjg2jpyecm4hxagptq

An adaptive discretization of compressible flow using a multitude of moving Cartesian grids

Linhai Qiu, Wenlong Lu, Ronald Fedkiw
2016 Journal of Computational Physics  
A second order accurate flux based scheme is devised to handle advection on each moving Cartesian grid using an effective characteristic velocity that accounts for the grid motion.  ...  We present a novel method for simulating compressible flow on a multitude of Cartesian grids that can rotate and translate.  ...  (a) The second order accurate ENO-LLF scheme is used for advection.  ... 
doi:10.1016/ fatcat:pgicrex4dbcsjlrqwoq535pqju

Multiphase Fluid Simulations on a Multiple GPGPU PC Using Unsplit Time Integration VSIAM3

Akio IKEBATA, Yoshihiko MURAOKA, Feng XIAO
2011 Progress in Nuclear Science and Technology  
The volume of fluid function is transported by the above advection scheme, and then modified by an anti-diffusion step based on a well designed numerical flux that rigorously conserves the mass and effectively  ...  We have developed a 3D numerical model for multi-fluid simulations with above methods incorporated, and implemented it on a multiple GPGPU computer.  ...  Introduction Tremendous efforts for developing numerical simulation technology for gas and liquid multiphase fluid have been dedicated for a long time.  ... 
doi:10.15669/pnst.2.491 fatcat:lxw4pxvzanf4hctk7iai7ncnga

A geometrical predictor–corrector advection scheme and its application to the volume fraction function

A. Cervone, S. Manservisi, R. Scardovelli, S. Zaleski
2009 Journal of Computational Physics  
The first approach has been used mainly for Cartesian grids and it requires a geometrical evaluation of the fluid-volume fluxes across the cell boundary, which in two dimensions are usually approximated  ...  We present a multidimensional Eulerian advection method for interfacial and incompressible flows in two-dimensional Cartesian geometry.  ...  Acknowledgment We would like to thank the referees for their helpful comments and suggestions.  ... 
doi:10.1016/ fatcat:4gh37cvgfbg7xpvgix27ms6hse

Discrete, vorticity-preserving, and stable simplicial fluids

Sharif Elcott, Yiying Tong, Eva Kanso, Peter Schröder, Mathieu Desbrun
2005 ACM SIGGRAPH 2005 Courses on - SIGGRAPH '05  
Figure 1 : Discrete Fluids: we present a novel integration scheme for fluid simulation applicable to tetrahedral meshes of arbitrary domains.  ...  In this paper, we propose a novel technique for the simulation of fluid flows.  ...  Figure 6 : 6 Bunny Snow Globe: the snow in the globe is advected by the inner fluid, initially stirred by a vortex to simulate a spin of the globe.  ... 
doi:10.1145/1198555.1198668 dblp:conf/siggraph/ElcottTKSD05 fatcat:skzge4vijncfhbzjbtbtztiuq4

Interpolation of LES Cloud Surfaces for Use in Direct Calculations of Entrainment and Detrainment

Jordan T. Dawe, Philip H. Austin
2011 Monthly Weather Review  
Here a method for the subgrid interpolation of a cloud surface on a discrete numerical model grid is presented.  ...  This method is used to calculate entrainment and detrainment rates for a large-eddy simulation (LES) model, which are compared with rates calculated via the direct flux method of Romps.  ...  We thank Marat Khairoutdinov for making SAM available for our research.  ... 
doi:10.1175/2010mwr3473.1 fatcat:5r47ujqobrhybhalr4xrgjz474

Page 516 of Mathematical Reviews Vol. , Issue 96a [page]

1996 Mathematical Reviews  
One-dimensional simulations are shown for a number of different interpolations.  ...  The crucial step is the interpolation of this variable, which is used in the calcu- lation of the fluxes; the (analytic) derivative of the interpolant then s 76 FLUID MECHANICS 516 gives sub-cell behaviour  ... 
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