CLAWPACK Usage
Links to applications of CLAWPACK
Bibliography
of papers using CLAWPACK or related wave-propagation methods
Please send mail to rjl@amath.washington.edu if you have other
references to add to this
bibliography
or other pointers to add to the list below.
Search for clawpack on Google Scholar for additional papers.
Index of links to applications, techniques, and references
- Adaptive Mesh Refinement
See also Related software
- accuracy on mapped grids:
[CL03]
- and parallelism:
[Bli03]
[Bli]
- Astrophysics
See also cosmology
general relativity
jets
MHD
relativistic flow
- Atmospheric flow
- Murawski and Michalczyk [MM01]
studied air pollutant dynamics.
- Balance laws See source terms
- BEARCLAW See Related software
- Broadwell models
- Christlieb, Rossmanith and Smereka [CRS04]
- Burgers' equation
- Cartesian grid methods (for embedding complex geometry on
uniform grids)
- Hans Forrer developed a Cartesian grid method in his thesis
[For97], see also Forrer and
Jeltsch [FJ98] and Forrer and Berger
[FB98].
- Christiane Helzel and Marsha Berger are developing new approaches to
this problem, see
[BH02],
[BHL02],
- Ted Stern coupled body-fitted grids near the wall with cut-cell
Cartesian grids away from the boundary, as described in his thesis
[Ste96]
- LeVeque and Calhoun developed methods for advection-diffusion
equations in irregular geometries using Cartesian grids, see
[CL00],
[CL01].
Results and animations
- Donna Calhoun developed a method for solving streamfunction-vorticity
formulation of the 2d incompressible Navier-Stokes equations on
Cartesian grids by combining the advection-diffusion solver with an immersed
interface approach. See her thesis
[Cal99]
and the paper
[Calar].
Results and animations
- Chemotaxis
- CHOMBO-CLAW See Related software
- Comparison of methods
- CLAWPACK can be used to easily
compare different methods on the same test
problem. For example, see
Example 15.1 of
[FVMHP]
and
book/chap15/wcblast, where the Roe solver and the HLLE method are
compared on the Woodward-Colella blast wave problem.
- A comparison of many methods (including CLAWPACK) on a variety of 1d
and 2d test problems for the Euler equations has been performed by Liska and
Wendroff
[LW01]
- Cosmology
See also general relativity
- Detonation waves
- See Christiane Helzel's thesis
[Hel00]
and the paper
[HLW00]
- Crossflow instabilities and detonation waves: see Bale and Helzel
[BHar]
- For reactive Navier-Stokes: see [SPP99]
- Diffusion
- Drumlins
- The formation of geological formations known as
drumlins is modeled by Hindmarsh
[Hin98]
- Dusty gas dynamics
See also volcanic flows
- Elasticity and elastodynamics See also plasticity
- Euler equations
- See Chapter 14 of
[FVMHP]
- claw/applications/euler
- A comparison of many methods (including CLAWPACK) on a variety of 1d
and 2d test problems for the Euler equations has been performed by Liska and
Wendroff
[LW01]
- Shock formation has been studied by
Lin and Szeri [LS01]
- Extended thermodynamics
-
Au, Reitebuch, Torrilhon, and Weiss
[ARTW00]
have studied an extended thermodynamics model.
- Gas dynamics See Euler equations
and various specific problems.
- General relativity See also relativistic
flow
cosmology
- Heterogeneous media
-
Chapter 9 of
[FVMHP]
concerns one-dimensional problems in heterogeneous media.
Multidimensional acoustics and elastodynamics are discussed in
Chapter 21 and
Chapter 22.
- For acoustics in heterogeneous media, see also
- Acoustics in layered and random media is discussed in the papers
[FL98],
[FL99].
See also Tiernan Fogarty's master's thesis
[Fog97]
- Solitary waves in layered nonlinear media have recently been
studied by LeVeque and Yong. See
[LeVar],
[LY02],
[LY02].
- Chaoming Zhang coupled CLAWPACK with an immersed interface method
to solve acoustics and elasticity problems in heterogeneous media.
See his thesis
[Zha96]
and the papers
[ZL97],
[LZ95],
[Zha96],
- Incompressible flow
- For an implementation of a second-order projection method in
CLAWPACK, see Long Lee's thesis
[Lee02]
and the paper
[LL02]. This also incorporates
an immersed interface method for membranes immersed in the fluid.
Results and
animations
- Donna Calhoun developed a method for solving streamfunction-vorticity
formulation of the 2d incompressible Navier-Stokes equations on
Cartesian grids by combining the advection-diffusion solver with an immersed
interface approach. See her thesis
[Cal99]
and the paper
[Calar].
Results and
animations
- Isothermal equations
- Jet flow
- Lock exchange flow
- Joern Sesterhenn used clawpack with the addition of viscous terms to
solve the compressible Navier-Stokes equations with gravity for a
lock exchange flow.
- Magnetohydrodynamics (MHD)
- A new constrained transport algorithm using CLAWPACK was developed
in James Rossmanith's thesis [Ros02]
- Murawski, Nakariakov, and Pelinovsky
[MNP01]
used CLAWPACK to study fast
magnetoacoustic waves in a randomly structured solor corona.
- Manifolds
- Moving grid methods
- Riccardo Fazio and LeVeque
[FL]
developed a one-dimensional moving grid code using CLAWPACK.
- Sorin Mitran and LeVeque are developing a two-dimensional version.
Some preliminary results are containd in
[LM02]
- Stockie, Mackenzie, and Russell
[SMR01]
also developed a one-dimensional moving grid code, with more
attention to mesh moving strategies for shock capturing via the solution of
an auxiliary PDE governing the motion of grid points.
- MPI
- Oceanography
See also tsunamis
- Jannelli, Fazio and Ambrosi
[JFA03]
studied mucilage dynamics
- Optimal control
- Homescu and Navon [HN03]
studied optimal control of flow with discontinuities.
- Parallelism See also MPI
- Ragnhild Blikberg
[Bli],
[Bli03]
has investigated AMRCLAW with OpenMP.
- Porous media flow
- Plasticity
- See Tiernan Fogarty's thesis
[Fog02]
- Quadrilateral grids
- Quasi-steady problems See source terms
- Random media See also heterogeneous
media
- Relativistic flow See also general relativity
- Derek Bale's thesis
[Bal02]
- Riemann solvers See also Roe solvers
- Riemann solvers are found in most applications directories in the rp
subdirectory.
- The program
testrp1sw.f
can be used to test a Riemann solver. (This is specifically for the shallow
water equations and is located in
applications/shallow/1d/rp, but can be modified to work with other sets
of equations.)
- Roe solvers
- Semiconductor modeling
- Gardner, Gelb, and Hernandez
[GGHar]
compare CLAWPACK to central schemes for a 1d model.
- Shallow water equations
See also tsunamis
- Shallow water MHD
- A new constrained transport algorithm using CLAWPACK was developed
in James Rossmanith's thesis [Ros02]
- Shock-bubble interaction
- Shu-Osher test problem
- Smoluchowski equation
-
Helzel and Otto [HO]
use clawpack to study the Doi model for suspensions of rod-like molecules.
The Smoluchowski equation describes the evolution of the distribution of rod
orientations, and is a drift-diffusion equation on the sphere. The webpage
http://www.iam.uni-bonn.de/~helzel/smoluchowski/
contains code to supplement their paper.
- Soil dynamics
- Soil liquifaction during earthquakes was studied in John Horne's thesis
[Hor96]
- Nonlinear waves in soil were studied by Fellin
[Fel02]
- Source terms
- Fractional step methods are easily used by setting
method(5)>0 in CLAWPACK.
See the CLAWPACK documentation
- quasisteady Examples of the
quasi-steady method described in
[LeV98]
(using an old version of CLAWPACK).
The f-wave approach appears to be better in general.
- fwave.html Description of the f-wave
approach developed in
[BLMR02]
- Sphere
- Thermoelasticity
- Berezovski, Engelbrecht, and Maugin have studied
thermoelastic wave propagation in a heterogeneous medium; see
[BEM01],
[BM01]
- Traffic flow
- Tsunamis
- LeVeque's
research webpage
has some pointers to simulations, including for the 2004 Indian Ocean event.
- LeVeque and George
[LG04]
compared with a benchmark problem.
- Spatially-varying flux functions
- Variable coefficients See heterogeneous
media
- Viscous equations See diffusion
- Visualization
- Volcanic flows
- LeVeque's
research webpage
has some pointers to simulations.
- Pelanti studied pyroclastic flows and volcanic jets
[Pel05]
[PLar]
- Costa and Macedonio [CM05] studied lava flows.
- Vorticity generation
- 3d
calculation by Jan Olav Langseth of vorticity generated by a cylindrically
expanding shock wave hitting an orthogonal cylinder of low-density gas.
- This calculation was used in [LL00] and some additional figures and
simulations for this paper can be found on the webpage for this
paper
- ZPLCLAW See Related software
