Gallery of fvmbook applications ¶

Chapter 3: Linear Hyperbolic Equations ¶

Directory: `$CLAW/apps/fvmbook/chap3/acousimple`

1D Acoustics simple waves

README … Plots

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Chapter 6: High-Resolution Methods ¶

Directory: `$CLAW/apps/fvmbook/chap6/compareadv`

comparison of methods

README … Plots

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Directory: `$CLAW/apps/fvmbook/chap6/wavepacket`

wave packet with 1st order Godunov shown here

README … Plots

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Chapter 7: Boundary Conditions and Ghost Cells ¶

Directory: `$CLAW/apps/fvmbook/chap7/advinflow`

1D Advection with inflow boundary conditions at left and outflow BCs at right

README … Plots

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Directory: `$CLAW/apps/fvmbook/chap7/acouinflow`

1D Acoustics with inflow boundary conditions at left and reflecting BCs at right

README … Plots

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Directory: `$CLAW/apps/fvmbook/chap7/standing`

1D Acoustics with a standing wave solution

README … Plots

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Chapter 10: Other Approaches to High Resolution ¶

Directory: `$CLAW/apps/fvmbook/chap10/tvb`

1D Advection with a TVB method

README … Plots

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Chapter 11: Nonlinear Scalar Conservation Laws ¶

Directory: `$CLAW/apps/fvmbook/chap11/burgers`

Burgers’ equation

README … Plots

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Directory: `$CLAW/apps/fvmbook/chap11/congestion`

Traffic flow equation with density bulge

README … Plots

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Directory: `$CLAW/apps/fvmbook/chap11/greenlight`

Traffic flow equation with expansion fan

README … Plots

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Directory: `$CLAW/apps/fvmbook/chap11/redlight`

Traffic flow equation with shock wave behind red light

README … Plots

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Chapter 12: Finite Volume Methods for Nonlinear Scalar Conservation Laws ¶

Directory: `$CLAW/apps/fvmbook/chap12/efix`

Burgers’ equation without entropy fix

README … Plots

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Chapter 13: Nonlinear Systems of Conservation Laws.¶

Directory: `$CLAW/apps/fvmbook/chap13/collide`

Colliding and merging shock waves in shallow water equations

README … Plots

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Chapter 16: Some Nonclassical Hyperbolic Problems ¶

Directory: `$CLAW/apps/fvmbook/chap16/vctraffic`

Traffic equations with a spatially varying flux

README … Plots

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Chapter 17: Source Terms and Balance Laws ¶

Directory: `$CLAW/apps/fvmbook/chap17/advdiff`

Advection-diffusion with implicit solver

README … Plots

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Directory: `$CLAW/apps/fvmbook/chap17/onramp`

Traffic flow with an on-ramp

README … Plots

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Chapter 20: Multidimensional Scalar Equations ¶

Directory: `$CLAW/apps/fvmbook/chap20/rotate`

2D Advection with a rotation of square and Gaussian

README … Plots

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Directory: `$CLAW/apps/fvmbook/chap20/burgers`

2D Burgers’ equation with square and Gaussian data

README … Plots

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