HAL Id: inria-00073529
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Submitted on 24 May 2006
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On the Behavior of Upwind Schemes in the Low Mach
Number Limit
Hervé Guillard, Cécile Viozat
To cite this version:
Hervé Guillard, Cécile Viozat. On the Behavior of Upwind Schemes in the Low Mach Number Limit.
RR-3160, INRIA. 1997. �inria-00073529�
a p p o r t
d e r e c h e r c h e
INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE
On the Behavior of Upwind Schemes
in the Low Mach Number Limit
Herve´ Guillard , Ce´cile Viozat
N˚ 3160
Avril 1997
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fÂydf rV} " , 6 , ´ Á} tvadf3ªXr{:a³y]odep¬Kf f8~fMr{}~f8}8ÌÍtvadf)vf8}~odqxtv}p¬_fMw{egf¥¦w{:}~fry tvadf}~w{qno|tvmxwVy} w6ydwtw{y]{f8~Vf tvw3r3vf8rV}wVydyr¬qxfpr{zdzdvw°|mxe"rutvmxwVyXw¨©t~adfgmnywVegzd~fM}~}~mn¬dqxfg}~w{qno|t~mnw{yÑ´'·t~o_rqnqxVÌÃt~adf¸O¹ " " 4 }~w{qno|tvmxwVyEmn}qnwV}~ftvw"t~afpmnywVeTz~fM}~}~mx¬qxfwVydfºtvaryXms}'tvadfT¸O¹ " " / 4}~w{qno|t~mnw{yÍ´`badmn}zKw{mnyVt ¥br{}br{qxvf8r "ydwtvmnf êfV´ ¦¬])}f8{f8vr{qKw{t~adf8'mxy]Vf8}t~mnVrutvw{:}´
PRESSURE: MIN = 71.0919 MAX = 73.5268
PRESSURE: MIN = 7138.77 MAX = 7159.34
PRESSURE: MIN = 714244 MAX = 714446
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Order 1
Order 2
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2
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PRESSURE: MIN = 71.2413 MAX = 71.907
PRESSURE: MIN = 7142.67 MAX = 7143.33
PRESSURE: MIN = 714285.5 MAX = 714286.2
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1e-07
1e-6
1e-5
1e-4
1e-3
1e-2
1e-1
1e-3
1e-2
1e-1
1
(Pmax - Pmin)/Pmax
MACH
Preconditioned dissipation order 1
Preconditioned dissipation order 2
y = x*x
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