Multi-dimentional upwind schemes for the
Euler Equations on ...
by M Aksas - Related articles
http://www.cscjournals.org/csc/manuscript/Journals/IJE/volume3/Issue2/IJE-66.pdf
Numerical Solutions for Hyperbolic Systems of Conservation Laws
...
Euler equations, MHD, waves, hyperbolic systems of conservation laws, primitive form, conservative form, integral form .... A simple example, the upwind Riemann solver: .... Perform 1D Godunov scheme along each direction in sequence. ...
http://www.dias.ie/jetsetschool/presentations/teyssier_lecture1.pdf
Computational Astrophysics 4 The Godunov method
The Modified Equation. - The Upwind scheme. - Von Neumann Analysis. - The Godunov Method. - Riemann .... 2D Euler equations in integral (conservative) form ... Solve 1D Riemann problem at each face using transverse predicted states ...
http://www-theorie.physik.unizh.ch/~agertz/CompAstro/compastro_lecture4.pdf
Upwind
schemes, multigrid and defect correction for the steady ...
1D Riemarm problem thus obtained is solved in an approximate way. As approximate Riemann solver for the Euler equations, we prefer Osher's scheme [10]. ...
http://www.springerlink.com/index/P222M8X530608712.pdf
A
Multidimensional Kinetic Upwind Method for
Euler Equations
Since the Euler equations are hyperbolic in nature we need to evaluate ζ(θ) in an upwind way along any direction θ. This has been achieved by developing ...
http://www.springerlink.com/index/k133tt237n523774.pdf
FLUX LIMITED
NON-OSCILLATORY CUD-3 SCHEMES FOR I-D EULER
EQUATIONS
this report to extend the flux limited scalar scheme to 1-D Euler equations. Third order Compact Upwind Discretizations, the so-called CUD-3 family of ...
http://www.informaworld.com/index/771637049.pdf
Approximate
Riemann solutions of the shallow water
equations ...
In the field of unsteady gasdynamics governed by the Euler equations, where shocks are ... These schemes solve linearised Riemann problems using upwind ...
http://www.informaworld.com/index/918680746.pdf
THREE-DIMENSIONAL
UPWIND SCHEME FOR SOLVING THE EULER
EQUATIONS ON ...
Since the Euler equations are nonlinear, and Roe's scheme is based on lin- ..... Consider a 1-D stencil with even spacing as shown in sketch (e): j - l¡2 j + lh .... The two locally one-dimensional Riemann invariants are given by ...
http://tetruss.larc.nasa.gov/docs/Frink_PhD_Dissertation.pdf
On the adjoint
solution of the quasi-1D Euler equations: the
...
by GF Duivesteijn - 2005 - Related articles
http://oai.cwi.nl/oai/asset/10851/10851D.pdf
Low-Diffusion
Rotated Upwind Schemes, Multigrid and Defect
...
by B Koren - Cited by 9
http://oai.cwi.nl/oai/asset/2654/2654A.pdf
HLLC
Riemann solver
For the 1D (also 3D+species equations) Euler equations the assumption of a 3-wave model is exact (complete Riemann solver). ...
http://anamat.cie.uma.es/NSPDE/cursos/toro/2-HLL+HLLC.pdf
FORCE-type
schemes for hyperbolic conservation laws.
There are two approaches: I: Upwind approach. Solve the Riemann problem. II: Centred approach. .... Numerical results for the 1D Euler equations ...
http://anamat.cie.uma.es/NSPDE/cursos/toro/1-FORCE.pdf
Higher
Order KFVS Algorithms Using Compact Upwind
Difference Operators
by KS Ravichandran - 1997 - Cited by 37
http://nal-ir.nal.res.in/1325/01/Higher_Order_02_txt.pdf
Solution of Two-Dimensional Riemann Problems for
Gas Dynamics ...
by A Kurganov - 2002 - Cited by 65
http://www.cscamm.umd.edu/centpack/publications/files/Kurganov-Tadmor.NMPDEs02.pdf
Entropy stability of Roe-type upwind finite volume
methods on ...
sists in approximating the solution of the Riemann problem (3.10) throught the ..... upwind scheme for the Euler equations, AIAA paper, 89–1931 (1989). ...
http://www.cscamm.umd.edu/people/faculty/tadmor/pub/TV+entropy/Madrane_Tadmor_HYP2008.pdf
Upwind
numerical techniques applied to the simulation of dam break ...
by B García - Related articles
http://www.unizar.es/galdeano/actas_pau/PDF/145.pdf
SEMIDISCRETE CENTRAL-UPWIND SCHEMES FOR HYPERBOLIC
CONSERVATION ...
by A KURGANOV - 2000 - Cited by 193
http://math.tulane.edu/~kurganov/Kurganov-Noelle-Petrova.SISC-01.pdf
A Central-Upwind Scheme for Nonlinear Water Waves
Generated by ...
by A Kurganov - Related articles
http://www.math.tulane.edu/~kurganov/Kurganov-Petrova_HYP2006.pdf
A New High Resolution TVD Scheme for Unsteady Flows with Shock
Waves1
by RAB QUEIROZ - 2008 - Cited by 2
http://www.sbmac.org.br/tema/seletas/docs/v9_2/14_Que_Fer_Cue.pdf
A
polynomial upwind scheme for convection
discretization 1 ...
by RAB de Queiroz - Cited by 1
http://www.sbmac.org.br/eventos/cnmac/xxxi_cnmac/PDF/112.pdf
Compressible
1-D Euler Equations with Large Data: A Case
Study
by E Endres - 2008 - Cited by 1
http://www.math.ntnu.no/conservation/2008/014.pdf
THE PERFORMANCE OF A HIGH ORDER UPWIND SCHEME FOR
THE NUMERICAL ...
by FA Kurokawa - Related articles
http://www4.fct.unesp.br/dmec/dincon2008/artigos/02/12 - 02-Kurokawa.pdf
A Review on
the Numerical Solution of the 1D Euler
Equations
by J Hudson - 2006 - Related articles
http://eprints.ma.man.ac.uk/150/01/JuH-EE.pdf
Chapter D03 Partial Differential Equations
Contents
interpolation routine for finite difference, Keller box and upwind scheme. D03PZF. Roe's Riemann solver for Euler equations ...
http://exweb.nag.com/numeric/FL/manual19/pdf/D03/d03_intro_fl19.pdf
Rankine–Hugoniot–Riemann Solver Considering Source
Terms and ...
- Related articles
http://www.ifdmavt.ethz.ch/research/group_pj/publications/paper_rhr.pdf
Multidimensional Dissipation for Upwind Schemes:
Stability and ...
- Related articles
http://www.pas.rochester.edu/~bearclaw/paper_library/SandersMoranoDruguet98.pdf
High-Order Accurate Discontinuous Finite Element Solution of the
...
- Related articles
http://web.mit.edu/ehliu/Public/ProjectX/Summer2007/Bassi_1997_High-Order_Accurate_DGFEM_2D_Euler.pdf
An upwind local RBF-DQ method for simulation of
inviscid ...
by C Shu - 2005 - Cited by 10
http://serve.me.nus.edu.sg/shuchang/Publications/Latest papers for web/Shu_Ding_Chen_Wang (CMAME) 2005.pdf
Cartesian Meshes and Adaptive Mesh Refinement for Hyperbolic
...
by MBR LeVeque - Related articles
http://www.amath.washington.edu/~rjl/pubs/mjb-rjl-1990uppsala/mjb-rjl-1990uppsala.pdf
A
Low Diffusion E-CUSP Upwind Scheme for Transonic
Flows
by GC Zha - 2004 - Cited by 7
http://www.eng.miami.edu/acfdlab/publications/AIAA_2004_2707.pdf
CONSTRUCTION
OF ACCURATE, ROBUST AND SIMPLE RIEMANN SOLVERS M.
Sun ...
Moreover, its accuracy is comparable with the exact Riemann solver. For 1-D Euler equations, the scheme actually surpasses the exact solver in avoiding ...
http://pdf.aiaa.org/preview/CDReadyMCFD03_579/PV2003_3540.pdf
Multidimensional upwind schemes based on
fluctuation-splitting for ...
by H Deconinck - 1993 - Cited by 49
http://deepblue.lib.umich.edu/bitstream/2027.42/47813/1/466_2004_Article_BF00350091.pdf
PII: 0045-7930(93)90053-C
by H Deconinck - 1993 - Cited by 108
http://deepblue.lib.umich.edu/bitstream/2027.42/30942/1/0000612.pdf
Multidimensional Upwind Residual Distribution
by H PAILLERE - 1993 - Cited by 59
http://theses.ulb.ac.be/ETD-db/collection/available/ULBetd-07122005-114133/unrestricted/01Contents.pdf
Lattice
Boltzmann method for the compressible Euler
equations
by T Kataoka - 2004 - Cited by 22
http://www.lib.kobe-u.ac.jp/repository/90000094.pdf
The Euler Equations
3.1 Conservative 1-D Euler Equations. One can reduce Eqs. (2.1) to a one dimensional form ..... This is the basis for upwind techniques which are very ... The Riemann invariants are variables which are constant along the character- ...
http://people.nas.nasa.gov/~pulliam/Classes/New_notes/euler_notes.pdf
Numerical
Solution of the Euler Equations by Finite Volume
Methods ...
by A Jameson - Cited by 1695
http://www.math.tau.ac.il/~turkel/PSmanuscripts/jst.pdf
AN
UPWIND FINITE- VOLUME SCHEME WITH A TRIANGULAR
MESH FOR ...
by SY Lin - 1990 - Cited by 2
http://www.ima.umn.edu/preprints/Nov90Series/726.pdf
Untitled
by EF Toro - 1991 - Cited by 6
http://dspace.lib.cranfield.ac.uk/bitstream/1826/248/2/coareport9115.pdf
Gas-kinetic
relaxation (BGK-type) schemes for the compressible ...
by I Xu - Cited by 9
http://aero-comlab.stanford.edu/Papers/AIAA-1995-1736-908.pdf
Stead^State Solution of the Euler Equations for
Transonic Flow
by A Jameson - Cited by 20
http://aero-comlab.stanford.edu/Papers/jameson_steady_euler_1981.pdf
A Numerical
Method Using Upwind Schemes for the Resolution of
Two ...
- Related articles
http://www.ann.jussieu.fr/~coquel/Articles/jcp97.pdf
68 Chapter
Three: The Euler Solutions from Gas-Kinetic Theory
3.1 ...
is similar to upwind schemes. Since the Euler equations are the limit of the ..... classes: one method is based on the application of a rotated 1-D Riemann ...
http://www.math.ust.hk/~makxu/PAPER/part3.pdf
A Low
Diffusion E-CUSP Upwind Scheme for Transonic
Flows
by GC Zha - 2004 - Cited by 7
http://www.flowsci.com/publications/AIAA_2004_2707.pdf
The
Spectral Difference Method for the 2D Euler
Equations on ...
by ZJ Wang - Cited by 10
http://www.public.iastate.edu/~zjw/papers/aiaa-2005-5112.pdf
A Triangular Finite Volume Approach With High-Resolution
Upwind ...
by WA Mulder - 1990 - Cited by 41
http://aniso.citg.tudelft.nl/Private/Papers/Journal/WRR26_12_Putti.pdf
221 adiabatic exponent 6 advection equation 13
amplification ...
by D Bernoulli - 2009Burgers' equation 10. Burgers, J. 10 c carburetor 16. Cauchy–Riemann equations 20 ... equation of state 2, 7 equivalence theorem 139. Euler equations 1, 5 .... upwind 136. Schlichting, H. 97 second law of thermodynamics 49 ...
http://media.wiley.com/product_data/excerpt/4X/35274077/352740774X-2.pdf
Eigenmode
Analysis of Boundary Conditions for the One-dimensional ...
upwind methods for inviscid problems must be based on the characteristics ..... In contrast to the unpreconditioned Euler equations, the Riemann invariant ...
http://historical.ncstrl.org/tr/pdf/icase/TR-98-51.pdf
Chapter 6 Riemann solvers
For the eigenvectors of the Euler equations above the Riemann invariants are: ... For hydrodynamic problems one can consider this to be a 1-D ..... in which the interface flux is found using a linear upwind interpolation (in contrast to ...
http://www.mpia-hd.mpg.de/~dullemon/lectures/hydrodynamicsII/chap_6.pdf
HIGH-ORDER
UPWIND SCHEMES FOR MULTIDIMENSIONAL ...
induction equations have to be formulated, since 1D. Riemann solvers for density ... Upwind Schemes for Euler Equations. The equations of gasdynamics in two ...
http://www.iop.org/EJ/article/0004-637X/530/1/508/40522.web.pdf
1 2
