Subdirectories of claw/applications with a brief description of each problem

1D advection equation with zero initial data and sinusoidal boundary data at the left boundary.

2D advection equation with constant velocity (u,v) = (2,1), periodic boundary conditions.

2D advection equation solved on a polar coordinate grid. The velocity field is potential flow around a cylinder

2D advection equation with u = 0, v = 1 and periodic boundary conditions solved on a wiggly nonorthogonal grid.

2D advection equation with swirling flow, taken from Example 9.6 in the paper "High-resolution conservative algorithms for advection in incompressible flow" [LeV95]

2D advection equation with velocity field that was generated by using Darcy's law with a discontinuous permeability, as described in the paper [Ada95] listed in claw/doc/biblio.ps.

3D advection equation with swirling flow, taken from Example 11.2 in the paper "High-resolution conservative algorithms for advection in incompressible flow" [LeV95]

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Burgers' equation

1D Burgers' equation with periodic boundary conditions and sinusoidal initial data, which transforms into an N-wave.

claw/applications/burgers/2d/pwconst
2D Burgers' equation with piecewise constant initial data and periodic boundary conditions.

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Acoustics

claw/applications/acoustics/1d/accuracy
Accuracy study for 1d acoustics equations.

claw/applications/acoustics/2d/constant/accuracy
Accuracy study for claw2 on 2d acoustics equations with radially symmetric solution. "True solution" is obtained using claw1 with source terms.

claw/applications/acoustics/2d/constant/piston
3d acoustics, driven by a circular piston mounted on a wall. Solved using claw2 with cylindrical symmetry about the x-axis.

claw/applications/acoustics/2d/varying/planewave
2d acoustics. Plane wave hitting a discontinuity in sound speed.

claw/applications/acoustics/2d/varying/piston
3d acoustics, driven by a circular piston mounted on a wall, in a tube with discontinuous wave speed at the boundary. Solved using claw2 with cylindrical symmetry about the x-axis.

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Euler equations

claw/applications/euler/1d/pbc
1D Euler equations of gas dynamics with piecewise constant initial data (the Riemann problem) and periodic boundary conditions.

claw/applications/euler/1d/shocktube
1D Euler equations of gas dynamics with piecewise constant initial data (the Riemann problem) and extrapolation (outflow) boundary conditions.

claw/applications/euler/2d/accuracy
Accuracy study for claw2 on 2d Euler equations with radially symmetric solution. "True solution" is obtained using claw1 with source terms.