Riemann Solvers and Numerical Methods for Fluid Dynamics A Practical Introduction /

• Κύριος συγγραφέας: Toro, Eleuterio F. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Θέματα: Engineering.; Numerical analysis.; Physics.; Fluids.; Mechanics.; Mechanics, Applied.; Theoretical and Applied Mechanics.; Theoretical, Mathematical and Computational Physics.; Numerical Analysis.; Fluid- and Aerodynamics.

High resolution upwind and centred methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practica...

Πίνακας περιεχομένων:

• The Equations of Fluid Dynamics
• Notions on Hyperbolic Partial Differential Equations
• Some Properties of the Euler Equations
• The Riemann Problem for the Euler Equations
• Notions on Numerical Methods
• The Method of Godunov for Non#x2014;linear Systems
• Random Choice and Related Methods
• Flux Vector Splitting Methods
• Approximate#x2014;State Riemann Solvers
• The HLL and HLLC Riemann Solvers
• The Riemann Solver of Roe
• The Riemann Solver of Osher
• High#x2013;Order and TVD Methods for Scalar Equations
• High#x2013;Order and TVD Schemes for Non#x2013;Linear Systems
• Splitting Schemes for PDEs with Source Terms
• Methods for Multi#x2013;Dimensional PDEs
• Multidimensional Test Problems
• FORCE Fluxes in Multiple Space Dimensions
• The Generalized Riemann Problem
• The ADER Approach
• Concluding Remarks.