Bibliography¶
See also www.geoclaw.org for papers, posters, and other resources for GeoClaw.
Papers describing the Clawpack software and algorithms¶
D. S. Bale, R. J. LeVeque, S. Mitran, and J. A. Rossmanith. A wave-propagation method for conservation laws with spatially varying flux functions, SIAM J. Sci. Comput 24 (2002), 955-978.
@article{BaleLevMitRoss02,
Author = {D. Bale and R. J. LeVeque and S. Mitran and J. A. Rossmanith},
Title = {A wave-propagation method for conservation laws and balance laws
with spatially varying flux functions},
Journal = {SIAM J. Sci. Comput.},
Pages = {955--978},
Volume = {24},
Year = {2002}}
M. J. Berger and P Colella. 1989. Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 82, 64–84.
M. J. Berger, D. L. George, R. J. LeVeque and K. M. Mandli, The GeoClaw software for depth-averaged flows with adaptive refinement, Advances in Water Resources 34 (2011), pp. 1195-1206.
@article{BergerGeorgeLeVequeMandli11,
Author = {M. J. Berger and D. L. George and R. J. LeVeque and K. T. Mandli},
Journal = {Adv. Water Res.},
Pages = {1195-1206},
Title = {The {GeoClaw} software for depth-averaged flows with adaptive refinement},
Volume = {34},
Year = {2011},
Url = {\url{www.clawpack.org/links/papers/awr11}}}
M. J. Berger and R. J. LeVeque. 1998. Adaptive Mesh Refinement using Wave-Propagation Algorithms for Hyperbolic Systems. SIAM J. Numer. Anal. 35, 2298–2316.
@article{BergerLeVeque98,
Author = {M. J. Berger and R. J. LeVeque},
Journal = {SIAM J. Numer. Anal.},
Pages = {2298--2316},
Title = {Adaptive Mesh Refinement using Wave-Propagation Algorithms for Hyperbolic Systems},
Volume = {35},
Year = {1998}}
M. J. Berger and R. J. LeVeque. 2023 Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation Submitted for publication
M. J. Berger and J. Oliger. 1984. Adaptive mesh refinement for hyperbolic partial differential equations. J. Comput. Phys. 53, 484–512.
M. J. Berger and I. Rigoutsos. 1991. An Algorithm for Point Clustering and Grid Generation. IEEE Trans. Sys. Man & Cyber. 21, 1278–1286.
B. N. Davis, 2018. Adjoint-Guided Adaptive Mesh Refinement for Hyperbolic Systems of Equations, PhD Thesis, University of Washington. link
B. N. Davis and R. J. LeVeque. 2016. Adjoint Methods for Guiding Adaptive Mesh Refinement in Tsunami Modeling, 2016. Pure Appl. Geophys. 173 (2016), pp. 4055-4074. More info
B. N. Davis and R. J. LeVeque. 2018. Analysis and Performance Evaluation of Adjoint-Guided Adaptive Mesh Refinement for Linear Hyperbolic PDEs Using Clawpack, Preprint, More info
J. O. Langseth and R. J. LeVeque. 2000. A wave-propagation method for three-dimensional hyperbolic conservation laws. J. Comput. Phys. 165, 126–166.
@article{LangsethLeVeque00,
Author = {J. O. Langseth and R. J. LeVeque},
Title = {A wave-propagation method for three-dimensional hyperbolic conservation laws},
Journal = {J. Comput. Phys.},
Pages = {126--166},
Volume = {165},
Year = {2000}}
R. J. LeVeque, 1996. High-resolution conservative algorithms for advection in incompressible flow,
@article{LeVeque1996,
author="R. J. LeVeque",
title="High-resolution conservative algorithms for advection in
incompressible flow",
journal="SIAM J. Numer. Anal.",
volume="33",
year="1996",
pages="627-665"
}
R. J. LeVeque, 1997. Wave propagation algorithms for multi-dimensional hyperbolic systems. J. Comput. Phys. 131, 327–353.:
@article{rjl:wpalg,
Author = {R. J. LeVeque},
Title = {Wave propagation algorithms for multi-dimensional hyperbolic systems},
Journal = {J. Comput. Phys.},
Pages = {327--353},
Volume = {131},
Year = {1997}}
R. J. LeVeque. Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, Cambridge, UK, 2002.
@book{LeVeque-FVMHP,
Author = {R. J. LeVeque},
Title = {Finite Volume Methods for Hyperbolic Problems},
Publisher = {Cambridge University Press},
Year = {2002},
Url = {https://www.clawpack.org/fvmhp_materials/}}
See gallery_fvmbook for some sample results from this book.
R. J. LeVeque, D. L. George, and M. J. Berger, 2011, Tsunami modelling with adaptively refined finite volume methods, Acta Numerica, pp. 211-289.
@article{mjb-dg-rjl:actanum2011,
Author = {R.J. LeVeque and D. L. George and M. J. Berger},
Title = {Adaptive Mesh Refinement Techniques for Tsunamis and Other
Geophysical Flows Over Topography},
Journal = {Acta Numerica},
Pages = {211-289},
Year = {2011}}
D. I. Ketcheson, Matteo Parsani, and R J LeVeque, 2013, High-order Wave Propagation Algorithms for Hyperbolic Systems, SIAM Journal on Scientific Computing, 35(1):A351-A377 (2013)
@article{KetParLev13,
Author = {Ketcheson, David I. and Parsani, Matteo and LeVeque,
Randall J.},
Journal = {SIAM Journal on Scientific Computing},
Number = {1},
Pages = {A351--A377},
Title = {{High-order Wave Propagation Algorithms for Hyperbolic Systems}},
Volume = {35},
Year = {2013}}
David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal Alghamdi, Manuel Quezada de Luna, Matteo Parsani, Matthew G. Knepley, and Matthew Emmett, 2012, PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems, SIAM Journal on Scientific Computing, 34(4):C210-C231
@article{pyclaw-sisc,
Author = {Ketcheson, David I. and Mandli, Kyle T. and Ahmadia, Aron J. and
Alghamdi, Amal and {Quezada de Luna}, Manuel and Parsani, Matteo and
Knepley, Matthew G. and Emmett, Matthew},
Title = {{PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems}},
Journal = {SIAM Journal on Scientific Computing},
Month = nov,
Number = {4},
Pages = {C210--C231},
Volume = {34},
Year = {2012}}
Kyle T. Mandli, Aron J. Ahmadia, Marsha Berger, Donna Calhoun, David L. George, Yiannis Hadjimichael, David I. Ketcheson, Grady I. Lemoine, Randall J. LeVeque, Clawpack: building an open source ecosystem for solving hyperbolic PDEs PeerJ Computer Science 2 (2016), e68:
@article{mandli2016clawpack,
title={Clawpack: building an open source ecosystem for solving hyperbolic PDEs},
author={Mandli, Kyle T and Ahmadia, Aron J and Berger, Marsha and Calhoun, Donna
and George, David L and Hadjimichael, Yiannis and Ketcheson, David I
and Lemoine, Grady I and LeVeque, Randall J},
journal={PeerJ Computer Science},
volume={2},
pages={e68},
year={2016},
publisher={PeerJ Inc.},
doi={10.7717/peerj-cs.68} }
Papers describing applications¶
D. A. Calhoun, C. Helzel, and R. J. LeVeque. Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains, SIAM Review 50 (2008), 723-752.
R. J. LeVeque. Python Tools for Reproducible Research on Hyperbolic Problems Computing in Science and Engineering (CiSE) 11(2009), pp. 19-27.
R. J. LeVeque and Darryl H. Yong. Solitary Waves in Layered Nonlinear Media, SIAM J. Appl. Math 63 (2003) pp. 1539-1560.
Mandli, K. T. A Numerical Method for the Two Layer Shallow Water Equations with Dry States. Ocean Modelling 72, 80–91 (2013).
@article{Mandli:2013it,
author = {Mandli, Kyle T},
title = {{A Numerical Method for the Two Layer Shallow Water Equations with Dry States}},
journal = {Ocean Modelling},
year = {2013},
volume = {72},
pages = {80--91},
month = aug
}
Mandli, K. T. & Dawson, C. N. Adaptive Mesh Refinement for Storm Surge. Ocean Modelling 75, 36–50 (2014).
@article{Mandli:ws,
author = {Mandli, Kyle T and Dawson, Clint N},
title = {{Adaptive Mesh Refinement for Storm Surge}},
journal = {Ocean Modelling},
year = {2014},
volume = {75},
pages = {36--50}}
Note
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Other references¶
Y. Okada. Surface deformation due to shear and tensile faults in a half-space, Bull. Seism. Soc. Am.* 75 (1985), pp. 1135-1154.
