tag:blogger.com,1999:blog-5822805028291837738.post5188918084885961217..comments2023-12-09T03:51:33.158-05:00Comments on Various Consequences: Burgers' Equation on a Moving Grid: Derivative ForcingJoshua Stultshttp://www.blogger.com/profile/03506970399027046387noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-5822805028291837738.post-31775722262669397882010-09-02T07:46:41.695-04:002010-09-02T07:46:41.695-04:00Transformation Relations from the classic Numerica...<a href="http://www.hpc.msstate.edu/publications/gridbook/chap03.php" rel="nofollow">Transformation Relations</a> from the classic <a href="http://www.hpc.msstate.edu/publications/gridbook/cover.php" rel="nofollow">Numerical Grid Generation: Foundations and Applications</a>Joshua Stultshttps://www.blogger.com/profile/03506970399027046387noreply@blogger.comtag:blogger.com,1999:blog-5822805028291837738.post-54877428555317541042010-03-15T15:57:48.226-04:002010-03-15T15:57:48.226-04:00ADAPTIVE MESH REFINEMENT USING WAVE-PROPAGATION AL...<a href="http://www.google.com/url?sa=t&source=web&ct=res&cd=1&ved=0CA0QFjAA&url=http%3A%2F%2Fciteseerx.ist.psu.edu%2Fviewdoc%2Fdownload%3Fdoi%3D10.1.1.121.4274%26rep%3Drep1%26type%3Dpdf&ei=Q4-eS8PICYP48AbTnd27Cg&usg=AFQjCNHeYAcA44MrNCXatTtleT0iHMSDXg&sig2=QUj0ldAjgGvkTnFYFss7UQ" rel="nofollow">ADAPTIVE MESH REFINEMENT USING WAVE-PROPAGATION ALGORITHMS FOR HYPERBOLIC SYSTEMS</a> [pdf]<br /><b>Abstract:</b><i>An adaptive mesh refinement algorithm developed for the Euler equations of gas dynamics has been extended to employ high-resolution wave-propagation algorithms in a more gen- eral framework. This allows its use on a variety of new problems, including hyperbolic equations not in conservation form, problems with source terms or capacity functions, and logically rectangular curvilinear grids. This framework requires a modified approach to maintaining consistency and conservation at grid interfaces, which is described in detail. The algorithm is implemented in the amrclaw package, which is freely available.</i><br /><b>Keywords:</b> <i>adaptive mesh refinement, hyperbolic conservation laws, high resolution, Godunov, finite-volume methods, gas dynamics, acoustics, software</i>Joshua Stultshttps://www.blogger.com/profile/03506970399027046387noreply@blogger.comtag:blogger.com,1999:blog-5822805028291837738.post-36667235644873407082010-03-07T11:27:32.263-05:002010-03-07T11:27:32.263-05:00Here's a little summary of some challenges for...Here's a <a href="http://adsabs.harvard.edu/abs/2010BAMS...91..105W" rel="nofollow">little summary of some challenges for using adaptive meshes for climate modeling</a>.Joshua Stultshttps://www.blogger.com/profile/03506970399027046387noreply@blogger.comtag:blogger.com,1999:blog-5822805028291837738.post-54537717017140603382010-03-07T09:17:21.300-05:002010-03-07T09:17:21.300-05:00Dr Mitchell at NIST has a recent paper on a collec...<a href="http://math.nist.gov/~WMitchell/" rel="nofollow">Dr Mitchell at NIST</a> has a <a href="http://www.google.com/url?sa=t&source=web&ct=res&cd=1&ved=0CAgQFjAA&url=http%3A%2F%2Fmath.nist.gov%2F~WMitchell%2Fpapers%2Fnistir7668.pdf&ei=GbSTS5KnOpCN8AaLkv32BA&usg=AFQjCNG4O27Cn2aZQDavqwURRROrDiSFeA&sig2=OQU0vefoNK3L07sF3GTmhA" rel="nofollow">recent paper on a collection of test cases for adaptive grid methods in 2D</a> (focused on elliptic problems, but the ideas are portable).Joshua Stultshttps://www.blogger.com/profile/03506970399027046387noreply@blogger.comtag:blogger.com,1999:blog-5822805028291837738.post-11829599373375012712009-12-11T15:02:08.495-05:002009-12-11T15:02:08.495-05:00Good, early paper on grid transformations<a href="http://www.cs.purdue.edu/research/technical_reports/1987/TR%252087-673.pdf" rel="nofollow">Good, early paper on grid transformations</a>Joshua Stultshttps://www.blogger.com/profile/03506970399027046387noreply@blogger.com