03726nam 22006855 450 991062437780332120251113200443.09783031072383303107238310.1007/978-3-031-07238-3(MiAaPQ)EBC7123066(Au-PeEL)EBL7123066(CKB)25201405900041(PPN)265857805(MiAaPQ)EBC31851759(Au-PeEL)EBL31851759(OCoLC)1349280626(DE-He213)978-3-031-07238-3(EXLCZ)992520140590004120221024d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMathematics of the Weather Polygonal Spline Local-Galerkin Methods on Spheres /by Jürgen Steppeler, Jinxi Li1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (328 pages)Springer Atmospheric Sciences,2194-5225Print version: Steppeler, Jürgen Mathematics of the Weather Cham : Springer International Publishing AG,c2022 9783031072376 Includes bibliographical references (pages 311-316) and index.Chapter 1. Simple Finite Difference Schemes -- Chapter 2. Basis Functions and Simple L-Galerkin Schemes in 1-d: Galerkin -- Chapter 3. Basis Functions for Triangular Meshes -- Chapter 4. 2-d Sparse Full and Sparse Grids for Quadrilaterals -- Chapter 5. Hexagonal Grids and Hexagonal Sparse Grids -- Chapter 6. Numerical Tests -- Chapter 7. Hexagonal Options -- Chapter 8. Construction of Platonic and Related Bodies on the Sphere -- Chapter 9. Euclids Lemma and the Construction of Quasi Regular Grids on Bilinear Surfaces -- Chapter 10. Differentiation on Curved Surfaces and Modeling on Spheres, Ellipsoids and the Potato Shaped Earth -- Chapter 11. The Construction of the Hexagonal Sub Grid for a Rhomboidal Grid on the Sphere: Sparse Hexagonal Grids -- Chapter 12. Tests on the Sphere -- Chapter 13. The 3-d Small Earth Test Program -- Chapter 14. Regularization of Rhomboidal and Hexagonal Grids -- Chapter 15. Introduction to the MOW Service Library. Chapter 16. Appendix: Tutorial Programs."Mathematics of the Weather” details the mathematical techniques used to create numerical models of the atmosphere. It explains methods which are currently considered for practical use in models for the exaflop computers (10**19 operations per seconds). This book is a guide to developing and modifying the mathematical methods used in such models. This includes Implementations in spherical geometry. The books also concentrates on elements of Numerical Weather Predication (NWP) and Computational Fluid Dynamics (CFD). .Springer Atmospheric Sciences,2194-5225Physical geographyMathematicsPhysicsEarth System SciencesEarth System SciencesApplications of MathematicsClassical and Continuum PhysicsPhysical geography.Mathematics.Physics.Earth System Sciences.Earth System Sciences.Applications of Mathematics.Classical and Continuum Physics.551.51011551.51011Steppeler Jürgen1263788Li JinxiMiAaPQMiAaPQMiAaPQBOOK9910624377803321Mathematics of the Weather2962648UNINA