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Buckley-Leverett equation with gravity
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Three-phase flow model in porous media
Model 1: Three-phase Buckley-Leverett shock wave followed by composite wave comprising a shock wave and adjoining rarefaction, that is, there is no occurrence of the non-classical transitional shock.
Model 2: Three-phase Buckley-Leverett problem: occurrence of the non-classical transitional shock.
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2D compressible Euler equations for several problems
Model 1: Case involving slip lines (Riemann Problem I)
Model 2: Case involving slip lines (Riemann Problem II)
Model 3: Double Mach reflection (Density)
Model 4: Double Mach reflection (Pressure)
Model 5: A Mach 3 wind tunnel with a step (Density)
Model 6: A Mach 3 wind tunnel with a step (Pressure)
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2D shallow water system
With non-flat bottom (left) and with discontinuous topography (right)
2D shallow water system discontinuous bottom topography
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2D Orszag-Tang Vortex (in closed form)
2D Orszag-Tang Vortex (in closed form)
Or in a suitable (conservative) open form:
Density
Pressure
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A 2D nonlinear pseudo-parabolic Buckley-Leverett saturation transport model coupled with an elliptic pressure-velocity problem
Test Case 3) Saturation for a 2D nonlinear pseudo-parabolic Buckley-Leverett Profile during the infiltration experiment: Homogeneous porous media
Test Case 1a) 3D VIEW: Numerical resolution of a 2D nonlinear pseudo-parabolic Buckley-Leverett saturation transport model coupled with an elliptic pressure-velocity problem - Viscosity ratio effects
Test Case 1b) 2D COLOR MAP VIEW: Numerical resolution of a 2D nonlinear pseudo-parabolic Buckley-Leverett saturation transport model coupled with an elliptic pressure-velocity problem - Viscosity ratio effects
Test Case 4) Saturation for a 2D nonlinear pseudo-parabolic Buckley-Leverett Profile during the infiltration experiment: Heterogeneous porous media