• Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Characteristics Finite Element Methods in Computational Fluid Dynamics

Characteristics Finite Element Methods in Computational Fluid Dynamics

Paperback

Series: Computational Fluid and Solid Mechanics

Technology & EngineeringGeneral MathematicsPhysics

ISBN10: 3642064302
ISBN13: 9783642064302
Publisher: Springer Nature
Published: Feb 12 2010
Pages: 730
Weight: 2.29
Height: 1.51 Width: 6.14 Depth: 9.21
Language: English

This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. Several sections derive the Fluid Dynamics equations from thermo-mechanics principles and develop this multi-dimensional and infinite-directional upstream procedure by combining a finite element discretization with an implicit non-linearly stable Runge-Kutta time integration for the numerical solution of the Euler and Navier Stokes equations. Based on the mathematics and physics of multi-dimensional characteristics, convection as well as acoustics, and inducing by design a controllable multi-dimensional upwind bias that can be locally optimized, the procedure crisply captures contact discontinuities, normal as well as oblique shocks, and generates essentially non-oscillatory solutions for incompressible, subsonic, transonic, supersonic, and hypersonic inviscid and viscous flows with chemical reactions and work, heat and mass transfer.

Also in

General Mathematics