http://danhughes.auditblogs.com The purpose of computing is insight, not numbers. Hamming Tue, 29 Apr 2008 19:43:58 +0000 http://backend.userland.com/rss092 en I'm getting ready to take off on the moto for a couple of months. Assuming that the tons o' snow here melt real soon. Back late May to early June. http://danhughes.auditblogs.com/2008/03/14/gone-moto-touring/ Introduction I started working on my own toy 0-D and 1-D models of the combined radiation-convection-conduction heat transfer problem aspect of energy balance approaches. I got to the point of assigning symbols to physical quantities and ran into a problem with some basic concepts. Details are discussed in the ... http://danhughes.auditblogs.com/2008/02/11/radiative-equilibrium-models-and-the-weather-temperature/ I have linked to this post by William Connolley in my Update to this post. I have decided to post it here for several reasons. http://danhughes.auditblogs.com/2008/01/31/%e2%80%a6-there-are-too-many-gcms-and-some-of-them-are-crp-%e2%80%a6/ Using the NASA/GISS ModelE code browser I ran across the MODULE CONSTANT in which several constants are setup as parameters. http://danhughes.auditblogs.com/2008/01/07/another-nasagiss-modele-code-fragment/ When the flows mentioned in the title are approached by use of model conservation/balance equations for the individual constituents, or separate fluid regions, in the flow field, many (all?) are ill-posed as hyperbolic mathematical problems. We can get into issues associated with parabolic and elliptic systems, but let's try to ... http://danhughes.auditblogs.com/2007/12/08/why-are-multiphasemultifieldmultifulid-fluid-flow-models-ill-posed/ Introduction The calculations preformed with the equation systems are summarized in the following discussions. The focus had been on testing for convergence of the numerical solution methods to solutions of the continuous equations. By convergence I mean that as the size of the discrete increment for the independent variable is reduced ... http://danhughes.auditblogs.com/2007/11/20/chaos-and-odes-part-1d-calculations-and-results/ The numerical solution methods that will be used to check convergence are given in a file that I uploaded. Let me know if you see any typos or if you want to see some results for a specific equation system. I'm thinking that Part 1d will be some numerical results. http://danhughes.auditblogs.com/2007/11/18/chaos-and-odes-part-1c-the-numerical-methods/ The equation systems that will be used to check convergence are given in a file that I uploaded. I had tons o' links and cross references and other good stuff but nothing worked out. Maybe later. Let me know if you see any typos or if you want to see ... http://danhughes.auditblogs.com/2007/11/16/chaos-and-odes-part-1b-the-equation-systems/ I have way too much material for a single post. I have spent days trying to force a good fit for all the material into a single document. I have put that aside for a while. So these discussions will be broken into several parts. At some future time I ... http://danhughes.auditblogs.com/2007/11/15/chaos-and-odes-part-1a-the-literature-sources/ When the basis of the mathematical models used in AOLGCM models/codes are discussed it is almost always stated that the 'fundamental laws of conservation and mass and energy' are at the foundations of the models. This is an incomplete, and somewhat incorrect, statement on several levels. Conservation of mass and ... http://danhughes.auditblogs.com/2007/08/30/mass-and-energy-conservation/