# Gallery of Examples from the book FVMHP applications¶

Contents

- Gallery of Examples from the book FVMHP applications
- Chapter 3: Linear Hyperbolic Equations
- Chapter 6: High-Resolution Methods
- Chapter 7: Boundary Conditions and Ghost Cells
- Chapter 10: Other Approaches to High Resolution
- Chapter 11: Nonlinear Scalar Conservation Laws
- Chapter 12: Finite Volume Methods for Nonlinear Scalar Conservation Laws
- Chapter 13: Nonlinear Systems of Conservation Laws.
- Chapter 16: Some Nonclassical Hyperbolic Problems
- Chapter 17: Source Terms and Balance Laws
- Chapter 20: Multidimensional Scalar Equations

## Chapter 3: Linear Hyperbolic Equations¶

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

1D Acoustics simple waves

## Chapter 6: High-Resolution Methods¶

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

comparison of methods

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

wave packet with 1st order Godunov shown here

## 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

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

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

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

1D Acoustics with a standing wave solution

## Chapter 10: Other Approaches to High Resolution¶

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

1D Advection with a TVB method

## Chapter 11: Nonlinear Scalar Conservation Laws¶

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

Burgers’ equation

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

Traffic flow equation with density bulge

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

Traffic flow equation with expansion fan

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

Traffic flow equation with shock wave behind red light

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

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

Burgers’ equation without entropy fix

## Chapter 13: Nonlinear Systems of Conservation Laws.¶

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

Colliding and merging shock waves in shallow water equations

## Chapter 16: Some Nonclassical Hyperbolic Problems¶

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

Traffic equations with a spatially varying flux

## Chapter 17: Source Terms and Balance Laws¶

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

Advection-diffusion with implicit solver

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

Traffic flow with an on-ramp