000 03422nam a22005415i 4500
001 978-3-540-34236-6
003 DE-He213
005 20161121231046.0
007 cr nn 008mamaa
008 100301s2007 gw | s |||| 0|eng d
020 _a9783540342366
_9978-3-540-34236-6
024 7 _a10.1007/3-540-34236-2
_2doi
050 4 _aQC1-999
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
082 0 4 _a530.1
_223
100 1 _aLiseikin, Vladimir D.
_eauthor.
245 1 2 _aA Computational Differential Geometry Approach to Grid Generation
_h[electronic resource] /
_cby Vladimir D. Liseikin.
250 _aSecond Edition.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2007.
300 _aXIV, 294 p. 81 illus., 3 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aScientific Computation,
_x1434-8322
505 0 _aGeometric Background to Grid Technology -- Introductory Notions -- General Coordinate Systems in Domains -- Geometry of Curves -- Multidimensional Geometry -- Algorithms and Applications of Advanced Grid Technology -- Comprehensive Grid Models -- Inverted Equations -- Numerical Implementation of Grid Generators.
520 _aThe process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This monograph gives a detailed treatment of applications of geometric methods to advanced grid technology. It focuses on and describes a comprehensive approach based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces. In this second edition the author takes a more detailed and practice-oriented approach towards explaining how to implement the method by: Employing geometric and numerical analyses of monitor metrics as the basis for developing efficient tools for controlling grid properties. Describing new grid generation codes based on finite differences for generating both structured and unstructured surface and domain grids. Providing examples of applications of the codes to the generation of adaptive, field-aligned, and balanced grids, to the solutions of CFD and magnetized plasmas problems. The book addresses both scientists and practitioners in applied mathematics and numerical solution of field problems.
650 0 _aPhysics.
650 0 _aComputer science
_xMathematics.
650 0 _aComputer mathematics.
650 0 _aDifferential geometry.
650 0 _aContinuum physics.
650 1 4 _aPhysics.
650 2 4 _aNumerical and Computational Physics.
650 2 4 _aMath Applications in Computer Science.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aDifferential Geometry.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aClassical Continuum Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540342359
830 0 _aScientific Computation,
_x1434-8322
856 4 0 _uhttp://dx.doi.org/10.1007/3-540-34236-2
912 _aZDB-2-PHA
950 _aPhysics and Astronomy (Springer-11651)
999 _c507937
_d507937