Resolution Numerique
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+!:#+g#BA:! V DECENTRE A GAUCHE 1 er ordre
DECENTRE A GAUCHE 1 er ordre
DECENTRE A GAUCHE 1 er ordre
CFL=0.1
CFL=0.9
CFL=0.5 1.0
0.9
solution 1 tour solution 2 tours erreur
0.9
solution 1 tour solution 2 tours erreur
solution 1 tour solution 2 tours erreur 0.8
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0.6
0.4
−0.1 −0.1
0.2
0.4
0.6
0.8
−0.1 −0.1
0.9
0.2
0.2
Mac Cormack
0.4
0.6
0.8
0.0 0.0
0.9
Mac Cormack
CFL=0.1
solution 1 tour solution 2 tours erreur
0.5
0.5
0.0
0.0
0.0
1.0
−0.5 0.0
0.2
0.4
CENTRE 2 ordre
0.6
0.8
1.0
0.8
1.0
0.8
1.0
1.0
1.0
−0.5 0.0
0.2
0.4
0.6
CENTRE 2 ordre
CENTRE 2 ordre
cfl=0.005
cfl=0.3
cfl=0.25
1.5
0.8
CFL=0.9
0.5
0.8
1.0
solution 1 tour solution 2 tours erreur
1.0
0.6
0.8
1.5
1.0
0.4
0.6
Mac Cormack
1.5 solution 1 tour solution 2 tours erreur
0.2
0.4
CFL=0.5
1.5
−0.5 0.0
0.2
3.0
2.0
2.0 1.0 1.0 1.0 0.5 0.0 0.0 0.0 −1.0
−0.5 0.0
0.2
0.4
0.6
0.8
1.0
−1.0 0.0
0.2
Wraming Beam
0.4
0.6
0.8
1.0
−2.0 0.0
Warming Beam
CFL=0.1
CFL=0.9 1.5
1.0
1.0
1.0
0.5
0.5
0.5
0.0
0.0
0.0
0.4
0.6
0.8
1.0
0.8
1.0
−0.5 0.0
0.2
Lax Wendroff
0.4
CFL=0.1 erreur=1.99E−04 1.5
1.0
0.5
0.0
−0.5 0.0
0.2
0.4
0.6
0.6
Warming Beam
1.5
0.2
0.4
CFL=0.5
1.5
−0.5 0.0
0.2
0.6
0.8
1.0
−0.5 0.0
0.2
0.4
0.6
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gauche 1er ordre gauche 2eme ordre Mac Cormack Warming Beam
erreur
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0.04
0.02
0.00 0.0
0.2
0.4
0.6
0.8
1.0
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DECENTRE A GAUCHE 1 er ordre
DECENTRE A GAUCHE 1 er ordre
CFL=0.1
CFL=0.9
CFL=0.5 1.0
0.9
solution 1 tour solution 2 tours erreur
0.9
solution 1 tour solution 2 tours erreur
solution 1 tour solution 2 tours erreur 0.8
0.8
0.8
0.6
0.6
0.4
0.4
0.2
0.2
0.6
0.4
−0.1 −0.1
0.2
0.4
0.6
0.8
−0.1 −0.1
0.9
0.2
0.2
Mac Cormack
0.4
0.6
0.8
0.0 0.0
0.9
Mac Cormack
CFL=0.1
solution 1 tour solution 2 tours erreur
0.5
0.5
0.0
0.0
0.0
1.0
−0.5 0.0
0.2
0.4
CENTRE 2 ordre
0.6
0.8
1.0
0.8
1.0
0.8
1.0
1.0
1.0
−0.5 0.0
0.2
0.4
0.6
CENTRE 2 ordre
CENTRE 2 ordre
cfl=0.005
cfl=0.3
cfl=0.25
1.5
0.8
CFL=0.9
0.5
0.8
1.0
solution 1 tour solution 2 tours erreur
1.0
0.6
0.8
1.5
1.0
0.4
0.6
Mac Cormack
1.5 solution 1 tour solution 2 tours erreur
0.2
0.4
CFL=0.5
1.5
−0.5 0.0
0.2
3.0
2.0
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0.2
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0.6
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0.4
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Lax Wendroff
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1.5
0.2
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