Bibliography of papers using CLAWPACK
or related wave-propagation methods

[App97]

J. R. Appel. Sensitivity calculations for conservation laws with application to discontinuous fluid flow. PhD thesis, Virginia Polytechnic Institute, 1997.

[ARTW00]

J. D. Au, D. Reitebuch, M. Torrilhon, and W. Weiss. The Riemann-problem in extended thermodynamics. In H.~{Freist\"uhler} and G.~Warnecke, editors, Proc. 8'th Intl. Conf. on Hyperbolic Problems, pages 79-88. {Birkh\"auser}, 2000.

[AvLU05]

L. Andersson, H. van Elst, E. C. Lim, and C. Uggla. Asymptotic silence of generic cosmological singularities. arXiv:gr-qc/0402051, 2005.

[AvU04]

L. Andersson, H. van Elst, and C. Uggla. Gowdy phenominology in scale-invariant variables. Class. Quantum Grav., 21:S29-S57, 2004.

[Bal02]

D. S. Bale. Wave propagation algorithms on curved manifolds with applications to relativistic hydrodynamics. PhD thesis, University of Washington, 2002. {\\ \verb+http://faculty.washington.edu/rjl/people.html+}.

[BB02]

J. M. Bardeen and L. T. Buchman. Numerical tests of evolution systems, gauge conditions, and boundary conditions for 1D colliding gravitational plane waves. Phys. Rev. D, 65:064037-1, 2002.

[BEM00]

A. Berezovski, J. Engelbrecht, and G. A. Maugin. Thermoelastic wave propagation in inhomogeneous media. Arch. Appl. Mech., 70:694-706, 2000.

[BH00]

D. S. Bale and C. Helzel. Crossflow instabilities in the approximation of detonation waves. In H.~{Freist\"uhler} and G.~Warnecke, editors, Proc. 8'th Intl. Conf. on Hyperbolic Problems, pages 119-128. {Birkh\"auser}, 2000.

[BH02]

M. J. Berger and C. Helzel. Grid aligned h-box methods for conservation laws in complex geometries. In R.~Herbin and D.~{Kr\"oner}, editors, Finite Volumes for Complex Applications III, Porquerolles, France, pages 277-284, London, 2002. Hermes Penton Ltd.

[BHL03]

M. J. Berger, C. Helzel, and R. J. LeVeque. H-box methods for the approximation of one-dimensional conservation laws on irregular grids. SIAM J. Numer. Anal., 41:893-918, 2003.

[BJ02]

D. Bond and H. Johari. Numerical simulation of unsteady axisymmetric jets. In 3rd Theoretical Fluid Mechanics Meeting, pages AIAA 2002-3081, 2002.

[BL00]

D. Bale and R. J. LeVeque. Wave propagation algorithms for hyperbolic systems on curved manifolds. In H.~{Freist\"uhler} and G.~Warnecke, editors, Proc. 8'th Intl. Conf. on Hyperbolic Problems. {Birkh\"auser}, 2000.

[Bli]

R. Blikberg. Nested parallelism applied to AMRCLAW. In Proc. EWOMP'02, Fourth European Workshop on OpenMP.

[Bli03]

R. Blikberg. Nested parallelism in Open{MP} with application to adaptive mesh refinement. PhD thesis, University of Bergen, Norway, 2003.

[BLMR02]

D. Bale, R. J. LeVeque, S. Mitran, and J. A. Rossmanith. A wave-propagation method for conservation laws and balance laws with spatially varying flux functions. SIAM J. Sci. Comput., 24:955-978, 2002.

[BM01]

A. Berezovski and G. A. Maugin. Simulation of thermoelastic wave propagation by means of a composite wave-propagation algorithm. J. Comput. Phys., 168:249-264, 2001.

[Bre03]

R. E. Breidenthal. The vortex as a clock. Symposium on Advances in Fluid Mechanics, 2003.

[Buc02]

N. Bucciantini. Pulsar bow-shock nebulae II. hydrodynamic simulation. Astron. Astrophys., 387:1066-1073, 2002.

[Cal99]

D. Calhoun. A Cartesian grid method for solving the streamfunction-vorticity equations in irregular geometries. PhD thesis, University of Washington, 1999.

[Cal02]

D. Calhoun. A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions. J. Comput. Phys., 176:231-275, 2002.

[CL00]

D. Calhoun and R. J. LeVeque. Solving the advection-diffusion equation in irregular geometries. J. Comput. Phys., 156:1-38, 2000.

[CL03]

D. Calhoun and R. J. LeVeque. An accuracy study of mesh refinement on mapped grids. In T.~Plewa, editor, Adaptive Mesh Refinement - Theory And Applications: Proceedings of The Chicago Workshop On Adaptive Mesh Refinement Methods, volume~41 of Lecture Notes in Computational Science and Engineering, pages 91-102. Springer Verlag, 2003.

[CL05]

A. A. Coley and W. C. Lim. Asymptotic analysis of spatially inhomogeneous stiff and ultra-stiff cosmologies, 2005.

[CM05]

A. Costa and G. Macedonio. Numerical simulation of lava flows based on depth-averaged equations. arXiv:physics/0504049, 2005.

[CRS04]

A. J. Christlieb, J. A. Rossmanith, and P. Smereka. The Broadwell model in thin channel. Comm. Math. Sci., 2:448-476, 2004.

[Dei]

R. Deiterding. Construction and application of an amr algorithm for distributed memory computers. In T.~Plewa, editor, Proc. of Chicago Workshop on Adaptive Mesh Refinement, volume~41 of Lecture Notes in Computational Science and Engineering. Springer Verlag.

[FB98]

H. Forrer and M. Berger. Flow simulations on Cartesian grids involving complex moving geometries. In R.~Jeltsch, editor, Proc. 7'th Intl. Conf. on Hyperbolic Problems, pages 315-324. {Birkh\"auser Verlag}, 1998.

[Fel02]

W. Fellin. Numerical computation of nonlinear inelastic waves in soil. Pure Appl. Geophys., 159:1737-1748, 2002.

[FJ98]

H. Forrer and R. Jeltsch. A higher-order boundary treatment for Cartesian-grid methods. J. Comput. Phys., 140:259-277, 1998.

[FL98]

T. Fogarty and R. J. LeVeque. High-resolution finite volume methods for acoustics in a rapidly-varying heterogeneous medium. In J.~A. {DeSanto}, editor, Mathematical and Numerical Aspects of Wave Propagation, Proc. Fourth Int. Conf. on Wave Propagation, Golden, CO, pages 603-605. SIAM, 1998.

[FL99]

T. Fogarty and R. J. LeVeque. High-resolution finite volume methods for acoustics in periodic or random media. J. Acoust. Soc. Am., 106:17-28, 1999.

[FL03]

R. Fazio and R. J. LeVeque. Moving mesh methods for one-dimensional conservation laws using \sc clawpack. Comp. Math. Appl., 45:273-298, 2003.

[Fog97]

T. Fogarty. Wave-propagation algorithms for acoustics in a rapidly varying heterogeneous medium. Masters' thesis, University of Washington, 1997. \\ ({\tt ftp://amath.washington.edu/pub/rjl/students/fogarty:masters.ps.gz}).

[Fog01]

T. R. Fogarty. Finite volume methods for elastic-plastic wave propagation in heterogeneous media. PhD thesis, University of Washington, 2001. {\\ \verb+http://faculty.washington.edu/rjl/people.html+}.

[For97]

H. Forrer. Boundary Treatments for Cartesian-Grid Methods. PhD thesis, ETH-Zurich, 1997.

[FR02]

E. Fried and B. C. Roy. Gravity-induced segregation of cohesionless granular mixtures. Lecture Notes in Mechanics, in press, 2002.

[Geo04]

D. L. George. Numerical approximation of the nonlinear shallow water equations with topography and dry-beds: A Godunov-Type scheme. Master's thesis, University of Washington, 2004.

[GGH02]

C. L. Gardner, A. Gelb, and J. Hernandez. A comparison of modern hyperbolic methods for semiconductor device simulation: NTK central scheme vs. CLAWPACK. VLSI Design, 15:721-728, 2002.

[HBL05]

C. Helzel, M. J. Berger, and R. J. LeVeque. A high-resolution rotated grid method for conservation laws with embedded geometries. SIAM J. Sci. Comput., 26:785-809, 2005.

[Hel00]

C. Helzel. Numerical Approximation of Conservation Laws with Stiff Source Term for the Modelling of Detonation Waves. PhD thesis, Otto-von-Guericke-Universit{\"a}t Magdeburg, 2000.

[HGGS05]

Y. Ha, C. L. Gardner, A. Gelb, and C.-W. Shu. Numerical simulation of high mach number astrophysical jets with radiative cooling. J. Sci. Comput., 24:29-44, 2005.

[HHL99]

R. Holdahl, H. Holden, and K. A. Lie. Unconditionally stable splitting methods for the shallow water equations. BIT, 39:451-472, 1999.

[Hin98]

R. C. A. Hindmarsh. Drumlinization and drumlin-forming instabilities: viscous till mechanisms. J. Glaciology, 44:293-314, 1998.

[HLW00]

C. Helzel, R. J. LeVeque, and G. Warnecke. A modified fractional step method for the accurate approximation of detonation waves. SIAM J. Sci. Comput., 22:1489-1510, 2000.

[HN03]

C. Homescu and I. M. Navon. Optimal control of flow with discontinuities. J. Comput. Phys., 187:660-682, 2003.

[HO]

C. Helzel and F. Otto. Multiscale simulations for suspensions of rod-like molecules. J. Comput. Phys., to appear.

[Hor96]

J. Horne. Effects of Liquefaction-Induced Lateral Spreading on Pile Foundations. PhD thesis, University of Washington, 1996.

[HS98]

S. D. Hern and J. M. Stewart. The Gowdy T-3 cosmologies revisited. Classical Quant. Grav., 15:1581-1593, 1998.

[JFA03]

A. Jannelli, R. Fazio, and D. Ambrosi. A 3D mathematical model for the prediction of mucilage dynamics. Computers \& Fluids, 32:47-57, 2003.

[JR03]

K. D. Jarman and T. F. Russell. Eulerian moment equations for 2-D stochastic immiscible flow. Multiscale Model. Simul., 1:598-608, 2003.

[KB98]

J. Kevorkian and D. L. Bosley. Multiple-scale homogenization for weakly nonlinear conservation laws with rapid spatial fluctuations. Stud. Appl. Math., 101:127-183, 1998.

[KP97]

A. C. Kuo and L. M. Polvani. Time-dependent fully-nonlinear geostrophic adjustment. J. Phys. Ocean., 27:1614, 1997.

[Lan96]

J. O. Langseth. Wave Propagation Schemes, Operator Splittings, and Front Tracking for Hyperbolic Conservation Laws. PhD thesis, Department of Informatics, University of Oslo, 1996.

[Lan01]

J. O. Langseth. 3D visualization of shock waves using volume rendering. In E.~F. Toro, editor, Godunov Methods: Theory and Applications, pages 549-556. Kluwer/Plenum, 2001.

[LC01]

R. J. LeVeque and D. Calhoun. Cartesian grid methods for fluid flow in complex geometries. In L.~J. Fauci and S.~Gueron, editors, Computational Modeling in Biological Fluid Dynamics, volume 124 of IMA Volumes in Mathematics and its Applications, pages 117-143. Springer-Verlag, 2001.

[Lee02]

L. Lee. Immersed interface methods for incompressible flow with moving interfaces. PhD thesis, University of Washington, 2002.

[LeV96]

R. J. LeVeque. High-resolution conservative algorithms for advection in incompressible flow. SIAM J. Numer. Anal., 33:627-665, 1996.

[LeV97]

R. J. LeVeque. Wave propagation algorithms for multi-dimensional hyperbolic systems. J. Comput. Phys., 131:327-353, 1997.

[LeV98]

R. J. LeVeque. Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm. J. Comput. Phys., 146:346-365, 1998.

[LeV01]

R. J. LeVeque. Some traffic flow models illustrating interesting hyperbolic behavior. \\ \verb+http://faculty.washington.edu/rjl/pubs/traffic/+, 2001.

[LeV02a]

R. J. LeVeque. Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, 2002.

[LeV02b]

R. J. LeVeque. Finite volume methods for nonlinear elasticity in heterogeneous media. Int. J. Numer. Meth. Fluids, 40:93-104, 2002.

[LeV04]

R. J. LeVeque. The dynamics of pressureless dust. J. Hyperbolic Differential Equations, 1:315-327, 2004.

[LL00]

J. O. Langseth and R. J. LeVeque. A wave-propagation method for three-dimensional hyperbolic conservation laws. J. Comput. Phys., 165:126-166, 2000.

[LL03]

L. Lee and R. J. LeVeque. An immersed interface method for incompressible Navier-Stokes equations. SIAM J. Sci. Comput., 25:832-856, 2003.

[LM02]

R. J. LeVeque and S. Mitran. Wave-propagation methods and software for complex applications. In R.~Herbin and D.~{Kr\"oner}, editors, Finite Volumes for Complex Applications III, Porquerolles, France, pages 107-118, London, 2002. Hermes Penton Ltd.

[LMDM98]

R. J. LeVeque, D. Mihalas, E. Dorfi, and E. M\"uller. Computational Methods for Astrophysical Fluid Flow. Saas-Fee Advanced Course 27, (A. Gautschy and O. Steiner, editors) Springer-Verlag, 1998.

[LS01]

H. Lin and A. J. Szeri. Shock formation in the presence of entropy gradients. J. Fluid Mech., 431:161-188, 2001.

[LW03]

R. Liska and B. Wendroff. Comparison of several difference schemes on 1D and 2D test problems for the Euler equations. SIAM J. Sci. Comput., 25:996-1017, 2003.

[LY02]

R. J. LeVeque and D. H. Yong. Phase plane behavior of solitary waves in nonlinear layered media. In T.~Hou and E.~Tadmor, editors, Hyperbolic Problems: Theory, Numerics, Applications, Proc. 9'th Intl. Conf. on Hyperbolic Problems, pages 43-51. Springer, 2002.

[LY03]

R. J. LeVeque and D. H. Yong. Solitary waves in layered nonlinear media. SIAM J. Appl. Math., 63:1539-1560, 2003.

[LZ95]

R. J. LeVeque and C. Zhang. Finite difference methods for wave equations with discontinuous coefficients. In S.~Sture, editor, Proc. 1995 ASCE Engineering Mechanics Conference, Boulder, CO, 1995. \\ ({\tt ftp://amath.washington.edu/pub/rjl/papers/rjl-zhang:asce95}).

[MM01]

K. Murawski and J. K. Michalczyk. Numerical simulations by godunov-type schemes of air-pollutant dynamics. TASK-Quarterly, 5:207-208, 2001.

[MNP01]

K. Murawski, V. M. Nakariakov, and E. N. Pelinovsky. Fast magnetoacoustic waves in a randomly structured solor corona. Astron. Astrophys., 366:306-310, 2001.

[MP00]

K. Murawski and E. N. Pelinovsky. The effect of random flow on solar acoustic waves. Astron. Astrophys., 359:759-765, 2000.

[MT04]

K. Murawski and M. Tarnowski. Sound waves in a wave noise. Task Quart., 8:103-108, 2004.

[Nor04]

M. L. Norman. The impact of AMR in numerical astrophysics and cosmology. \verb+http://xxx.lanl.gov/abs/astro-ph/0402230+, 2004.

[Pel05]

M. Pelanti. Wave Propagation Algorithms for Multicomponent Compressible Flows with Applications to Volcanic Jets. PhD thesis, University of Washington, 2005.

[PFB02]

A. Y. Poludnenko, A. Frank, and E. G. Blackman. Hydrodynamic interaction of strong shocks with inhomogeneous media. I. Adiabatic case. Astrophys. J., 576:832-848, 2002.

[PFM03a]

A. Y. Poludnenko, A. Frank, and S. Mitran. Clumpy flows in protoplanetary and planetary nebulae, 2003. http://xxx.lanl.gov/abs/astro-ph/0310286.

[PFM03b]

A. Y. Poludnenko, A. Frank, and S. Mitran. Strings in the Eta Carinae nebula: Hypersonic radiative cosmic bullets, 2003. http://xxx.lanl.gov/abs/astro-ph/0310007.

[PLar]

M. Pelanti and R. J. LeVeque. High-resolution finite volume methods for dusty gas jets and plumes. SIAM J. Sci. Comput., to appear.

[RL00]

J. A. Rossmanith and R. J. LeVeque. A wave propagation algorithm for the solution of PDEs on the sphere. In H.~{Freist\"uhler} and G.~Warnecke, editors, Proc. 8'th Intl. Conf. on Hyperbolic Problems. {Birkh\"auser}, 2000.

[Ros02]

J. A. Rossmanith. A Wave Propagation Method with Constrained Transport for Ideal and Shallow Water Magnetohydrodynamics. PhD thesis, University of Washington, 2002.

[RSW01]

P. Rentrop, S.-O. Stoll, and U. Wever. Sensitivity calculations for 2D-optimization of turbomachine blading. In K.-H. Hoffmann, I.~Lasiecka, G.~Leugering, J.~Sprekels, and F.~{Tr\"oltzsch}, editors, Optimal Control of Complex Structures, volume 139 of Int. Ser. Numer. Math.. {Birkh\"auser}, 2001.

[SFS05]

F. Sigward, A. Ferrara, and E. Scannapieco. Suppression of dwarf galaxy formation by cosmic shocks. Month. Not. Royal Astron. Soc., 358:755, 2005.

[Shy98]

K.-M. Shyue. An efficient shock-capturing algorithm for compressible multicomponent problems. J. Comput. Phys., 142:208-242, 1998.

[Shy99]

K.-M. Shyue. A fluid-mixture type algorithm for compressible multicomponent flow with van der Waals equation of state. J. Comput. Phys., 156:43-88, 1999.

[Shy01]

K.-M. Shyue. A fluid-mixture type algorithm for compressible multicomponent flow with Mie-Gr\"uneisen equation of state. J. Comput. Phys., 171:678-707, 2001.

[SMR01]

J. M. Stockie, J. A. Mackenzie, and R. D. Russell. A moving mesh method for one-dimensional hyperbolic conservation laws. SIAM J. Sci. Comput., 22:1791-1813, 2001.

[Sni03]

J. B. Snively. Tropospheric forcing as a source of quasi-monochromatic gravity waves observed in the upper mesosphere and lower thermosphere. Master's thesis, Penn State University, 2003.

[SPP99]

S. Singh, J. M. Powers, and S. Paolucci. Detonation solutions from reactive Navier-Stokes equations. In 37th AIAA Aerospace Sciences Meeting, pages AIAA-99-0966, 1999.

[Ste96]

L. G. Stern. An Explicitly Conservative Method for Time-Accurate Solution of Hyperbolic Partial Differential Equations on Embedded Chimera Grids. PhD thesis, University of Washington, 1996. (\verb+ ftp://www.amath.washington.edu/pub/rjl/students/stern:thesis.ps.gz+).

[TLM99]

R. Tyson, S. R. Lubkin, and J. D. Murray. Model and analysis of chemotactic bacterial patterns in a liquid medium. J. Math. Bio., 38:359-375, 1999.

[TSL00]

R. Tyson, L. G. Stern, and R. J. LeVeque. Fractional step methods applied to a chemotaxis model. J. Math. Biol., 41:455-475, 2000.

[YF03]

A. G. Yeghikyan and H. J. Fahr. Consequences of the solar system passage through dense interstellar clouds. Annales Geophysicae, 21:1263-1273, 2003.

[YLAH02]

J. Yi, H. Lin, L. Alvarez, and R. Horowitz. Stability of macroscopic traffic flow modeling through wavefront expansion. In Proc. American Control Conference, Anchorage, pages 1484-1490, 2002.

[Zha96a]

C. Zhang. The immersed interface method for elastic wave propagations in heterogeneous materials. Rice University Department of Computational and Applied Mathematics Report TR96-29, 1996.

[Zha96b]

C. Zhang. Immersed Interface Methods for Hyperbolic Systems of Partial Differential Equations with Discontinuous Coefficients. PhD thesis, University of Washington, 1996.

[ZL97]

C. Zhang and R. J. LeVeque. Immersed interface methods for wave equations with discontinuous coefficients. Wave Motion, 25:237-263, 1997.