Revival: Numerical Solution Of Convection-Diffusion Problems (1996)
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A01=K.W. Morton
advanced convection diffusion modeling
Algorithms
artificial viscosity techniques
Author_K.W. Morton
Category=PBKJ
Category=UB
Central Difference Scheme
computational fluid dynamics
Convection Diffusion Problems
convection-diffusion phenomenon
Difference Scheme
Discrete Green's Function
Discrete Green’s Function
Discrete Maximum Principle
Element Basis Functions
elliptic partial differential equations
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Equations
finite difference methods
finite element analysis
finite element methods
Fourth Order Accuracy
Galerkin Approximation
Galerkin Schemes
Global Basis Function
Green's Function
Green’s Function
Hyperbolic
Jacobi Iteration
Maximum Principle
Methods
numerical algorithms
Order Central Difference Scheme
Ordinary Differential Equations
Outer Expansion
Piecewise Linear
Piecewise Linear Approximation
Posteriori Error Analysis
Practical Stability
Truncation Error
Unsteady Convection Diffusion Equation
Unsteady Problems
Upwind Scheme
upwind schemes
Viscosity
Product details
- ISBN 9781138105782
- Weight: 690g
- Dimensions: 156 x 234mm
- Publication Date: 14 Jun 2018
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Accurate modeling of the interaction between convective and diffusive processes is one of the most common challenges in the numerical approximation of partial differential equations. This is partly due to the fact that numerical algorithms, and the techniques used for their analysis, tend to be very different in the two limiting cases of elliptic and hyperbolic equations. Many different ideas and approaches have been proposed in widely differing contexts to resolve the difficulties of exponential fitting, compact differencing, number upwinding, artificial viscosity, streamline diffusion, Petrov-Galerkin and evolution Galerkin being some examples from the main fields of finite difference and finite element methods.
The main aim of this volume is to draw together all these ideas and see how they overlap and differ. The reader is provided with a useful and wide ranging source of algorithmic concepts and techniques of analysis. The material presented has been drawn both from theoretically oriented literature on finite differences, finite volume and finite element methods and also from accounts of practical, large-scale computing, particularly in the field of computational fluid dynamics.
