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020 _a9789819703494
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024 7 _a10.1007/978-981-97-0349-4
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
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072 7 _aPHU
_2thema
100 1 _aHou, Guoxiang.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976149
245 1 0 _aComputational Fluid Dynamics
_h[electronic resource] :
_bFinite Difference Method and Lattice Boltzmann Method /
_cby Guoxiang Hou, Caikan Chen, Shenglei Qin, Yuan Gao, Kai Wang.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aXV, 259 p. 104 illus., 53 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 _aEngineering Applications of Computational Methods,
_x2662-3374 ;
_v20
505 0 _a1. Finite Difference Method -- 2. The Compatibility, Convergence and Stability of difference schemes -- 3. Common difference schemes for several model equations -- 4. Difference schemes for multi-dimensional problems -- 5 Variable coefficients and nonlinear problems.
520 _aThis book provides a concise and comprehensive introduction to several basic methods with more attention to their theoretical basis and applications in fluid dynamics. Furthermore, some new ideas are presented in this book, for example, a method to solve the transition matrix by difference operator transformation. For this method, the book gives the definition of Fourier integral transformation of translation operator, and proves the transition matrix equaling to the differential operator transformation, so that it is extended to general situations of explicit, implicit, multi-layer difference equations, etc. This flexible approach is also used in the differential part. In addition, the book also includes six types of equivalent stability definitions in two ways and deeply analyzes their errors, stabilities and convergences of the difference equations. What is more important, some new scientific contributions on lattice Boltzmann method (LBM) in recent years are presented in the book as well. The authors write the book combining their ten years teaching experience and research results and this book is intended for graduate students who are interested in the area of computational fluid dynamics (CFD). Authors list some new research achievements, such as simplified lattice Boltzmann method, the simplified lattice Boltzmann flux solver and discrete unified gas kinetic scheme, and expect that this new information could give readers possible further investigating ideas in their future research on CFD area.
650 0 _aMathematical physics.
650 0 _aComputer simulation.
650 0 _aMathematics
_xData processing.
_965715
650 1 4 _aComputational Physics and Simulations.
_965564
650 2 4 _aComputational Science and Engineering.
_965717
700 1 _aChen, Caikan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976150
700 1 _aQin, Shenglei.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976151
700 1 _aGao, Yuan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976152
700 1 _aWang, Kai.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976153
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819703487
776 0 8 _iPrinted edition:
_z9789819703500
776 0 8 _iPrinted edition:
_z9789819703517
830 0 _aEngineering Applications of Computational Methods,
_x2662-3374 ;
_v20
_972891
856 4 0 _uhttps://doi.org/10.1007/978-981-97-0349-4
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c59561
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