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SUMMARY:Using Structured Adaptive Computational Grid for Solving Multidime
 nsional Computational Physics Tasks
DTSTART;VALUE=DATE-TIME:20121018T094500Z
DTEND;VALUE=DATE-TIME:20121018T101500Z
DTSTAMP;VALUE=DATE-TIME:20261011T080722Z
UID:indico-contribution-188@indico.ipb.ac.rs
DESCRIPTION:Speakers: Peter Bogatencov (RENAM Association)\nIn the work de
 scribed the algorithm and program for solving multidimensional problems re
 presented by differential equations with partial derivatives adopted for u
 sing SEE regional HPC resources. The algorithm based on the AMR method - a
 daptive mesh refinement of the computational grid. Utilization of AMR meth
 od can significantly improve the resolution of the difference grid in area
 s of high interest and accelerate the processes of the multi-dimensional p
 roblems calculating.\nOne of the methods that allow developing optimized a
 pplications and speeding up the process of complicated models execution is
  the method based on adaptive refinement of computational mesh – AMR (Ad
 aptive Mesh Refinement) method. Many complex problems of continuum mechani
 cs are numerically solved on structured or unstructured grids. To improve 
 the accuracy of the calculations is necessary to choose a sufficiently sma
 ll grid (with a small cell size). This leads to the drawback of a substant
 ial increase of computation time. Therefore\, for the calculations of comp
 lex problems it is reasonable to use AMR method. That is\, the grid refine
 ment is performed only in the areas of interest of the structure\, where e
 .g. the shock waves are generated\, or a complex geometry or other such fe
 atures exist. Applying AMR the computing time is greatly reducing and the 
 execution of the application on the resulting sequence of nested\, decreas
 ing nets can be parallelized. We are considering solution of two- and thre
 e- dimensional tasks of gas dynamics that have obvious practical interest.
  These solutions can be applied to many nowadays problems. However\, the m
 aking of three-dimensional calculations for high definition grids requires
  large computational resources.\nIn all cases\, at the beginning of solvin
 g the problem we define a way to highlight areas in which we need to const
 ruct the grid\, and then the program builds a sequence of grids and makes 
 a decision on them. During calculations in the computational area there ar
 e domains with large gradients of the parameters - such as temperature\, p
 ressure\, density and others. These areas are contiguous with areas with a
  smooth behavior of the investigated functions. Therefore\, to reduce the 
 requirements for computing resources a detailed grid with small mesh sizes
  can be created only in areas of high gradients. Approach to creation of s
 uch area - adaptive mesh refinement will significantly clarify the definit
 ion of the multi-dimensional flows features. The proposed AMR method is th
 e most suitable method of grid generation for solving three-dimensional pr
 oblem of the collapsing star. \nCalculations using of AMR method based on 
 the hierarchical grid cells\, which can significantly improve the quality 
 of the calculations in the various fields of science and engineering. Prog
 ram based on AMR technology uses object-oriented approach\, which is avail
 able in the current version of Fortran 90.\n\nhttps://events.saifa.rs/even
 t/291/contributions/188/
LOCATION:National Library of Serbia
URL:https://events.saifa.rs/event/291/contributions/188/
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