Hyperbolic Partial Differential Equations : Theory, Numerics and Applications

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Hyperbolic Partial Differential Equations : Theory, Numerics and Applications

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  • 製本 Hardcover:ハードカバー版／ページ数 320 p.
  • 言語 ENG
  • 商品コード 9783528031886
  • DDC分類 515

Full Description


The book gives an introduction to the fundamental properties of hyperbolic partial differential equations und their appearance in the mathematical modelling of various problems from practice. It shows in an unique manner concepts for the numerical treatment of such equations starting from basic algorithms up actual research topics in this area. The numerical methods discussed are central and upwind schemes for structured and unstructured grids based on ENO and WENO reconstructions, pressure correction schemes like SIMPLE and PISO as well as asymptotic-induced algorithms for low-Mach number flows.

Contents

Hyperbolic Conservation Laws and Industrial Applications - Central Schemes and Systems of Balance Laws - Methods on Unstructured Grids, WENO and ENO Recovery techniques - Pressure-Correction Methods for all Flow Speeds - Computational Fluid Dynamics and Aeroacoustics for Low Mach Number Flow