Would anyone know of references that give detailed explanations on concepts such as moving grids and nested grids in models?
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1$\begingroup$ This is probably answerable as a request for a reference to a review article or textbook, but if you want a good answer here you may need to be much more specific. $\endgroup$– Semidiurnal SimonApr 24, 2015 at 10:12
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1$\begingroup$ www2.mmm.ucar.edu/wrf/users/hurricanes/moving_nest.html $\endgroup$– f.thorpe ♦Apr 27, 2015 at 23:06
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1$\begingroup$ Did you try scicomp.stackexchange.com? $\endgroup$– Isopycnal OscillationApr 27, 2015 at 23:35
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$\begingroup$ @SimonW I agree. I just recently heard about nonstationary grids used in models, so I was just looking for something to read up on. I also found that the H*WRF documentation (emc.ncep.noaa.gov/HWRF/HWRFScientificDocumentation2013.pdf) contains a brief discussion on this as well. $\endgroup$– user4624937Apr 29, 2015 at 3:17
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$\begingroup$ @IsopycnalOscillation no I was not aware of that site! Thanks for pointing that out. $\endgroup$– user4624937Apr 29, 2015 at 3:18
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1 Answer
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Book:
Shyy W, Udaykumar HS, Rao MM, Smith RW. Computational Fluid Dynamics with Moving Boundaries. Taylor& Francis: London, 1996.
Some relevant papers:
Jin C, Xu K. A unified moving grid gas-kinetic method in Eulerian space for viscous flow comnputation. Journal of Computational Physics 2007; 222:155–175.
Hirt CW, Amsden AA, Cook JL. An arbitrary Lagrangian–Eulerian computing method for all flow speeds. Journal of Computational Physics 1997; 135:203–216.
Piggott M, Pain C, Gorman G, Power P, Goddard A. h, r, and hr adaptivity with applications in numerical ocean modeling. Ocean Modelling 2005; 10:95–113
HuangWZ, Ren Y, Russell RD.Moving mesh methods based on moving mesh partial differential equations. Journal of Computational Physics 1994; 113:279–290.
Miller K, Miller RN. Moving finite element. SIAM Journal of Numerical Analysis 1981; 18:1019–1032.
Dorfi EA, Drury LO. Simple adaptive grids for 1-D initial value problems. Journal of Computational Physics 1987; 69:175–195.
Tang T. Moving mesh methods for computational fluid dynamics. Contemporary Mathematics 2005; 383:141–174.
Tang H, Tang T. Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws. SIAM Journal of Numerical Analysis 2003; 41(2):487–515.
Tang H, Tang T. Multi-dimensional moving mesh method for shock computations. Contemporary Mathematics 2003; 330:169–183.
Adaptive grid concepts have been applied to the Princeton Ocean Model (POM).
Original Paper for POM:
With adaptive mesh:
answered Apr 27, 2015 at 23:34
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1$\begingroup$ Can you please comment which flavor of POM uses moving grids? The original variants by Mellor, Blumberg, Oey, etc., do not. $\endgroup$ Apr 28, 2015 at 4:33
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1$\begingroup$ Moving grids are quite common in atmospheric applications (e.g., WRF), but in ocean applications adaptive meshes are only now being applied. An example that I like is Hofmeister et al., 2010 (dx.doi.org/10.1016/j.ocemod.2009.12.003). $\endgroup$– arkaiaApr 28, 2015 at 16:46
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1$\begingroup$ @milancurcic It seems my notes are wrong. I was looking at old notes from my Ocean Modeling course and it was described as employing a moving grid. Looking at the original paper it clearly does not. The link by @@aretxabaleta shows an implementation of an adaptive/moving grid concept in POM which I will go ahead and include in the answer. $\endgroup$ Apr 28, 2015 at 17:40