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  • 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
Finite Element Computational Gas Dynamics: Multi-Dimensional Upstream Biased Formulation

Finite Element Computational Gas Dynamics: Multi-Dimensional Upstream Biased Formulation

Iannelli, Joseph

Paperback

Technology & EngineeringPhysics

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ISBN10: 0323912575
ISBN13: 9780323912570
Publisher: Elsevier
Published: Oct 1 2023
Pages: 703
Language: English

Finite Element Computational Gas Dynamics: Multi-Dimensional Upstream Biased Formulation details a systematic characteristics-based finite element procedure to investigate compressible inviscid and viscous inert and chemically reacting laminar and turbulent flows. The book is structured in two major parts: I) the continuum world and II) the discretized environment. Part I details the development of the governing systems from first thermomechanical principles and establishes an inherently multidimensional upstream bias formulation directly at the differential equation level, before any discretization. Part II presents grid generation techniques that use algebraic and differential methods. These are followed by an optimal finite element formulation that incorporates efficient metric data modelling, high-order Chebyshev elements, and accurate enforcement of boundary conditions. It is also shown that the formulation expands upon the Discontinuous Galerkin Method. The scalability of the overall algorithm is covered in dedicated sections of the book. The overall finite element formulation is then shown to generate accurate essentially non-oscillatory solutions that crisply capture contact discontinuities and normal as well as oblique shocks, for transonic, supersonic, and hypersonic inviscid and viscous as well as steady and unsteady laminar and turbulent flows.

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