A different type of boundary condition is found when the surface of a body is exposed to the fluid.
In the case of inviscid flow governed by the Euler equations 2. The treatment of walls becomes more involved in cases, where, for example, a specified wall temperature distribution has to be met, or when the heat radiation has to be taken into account see, e. Furthermore, boundary conditions have to be defined for surfaces where different fluids e.
But apart from the physical boundary conditions and those imposed by truncating the flow domain, there can be boundaries generated by the numerical solution method itself. The correct implementation of boundary condition is the crucial point of every flow solver.
Not only the accuracy of the solution depends strongly on a proper physical and numerical treatment of the boundaries, but also the robustness and the convergence speed are considerably influenced. More details of various important boundary conditions are presented in Chapter 8. Navier-Stokes calculations using cartesian grids: I. Laminar flows. AIAA J ; An adaptively refined Cartesian mesh solver for the Euler equations. J Comput Phys ; An accuracy assessment of Cartesian-mesh approaches for the Euler equations.
NPTEL :: Mechanical Engineering - Computational Fluid Dynamics
An accurate Cartesian grid method for viscous incom- pressible flows with complex immersed boundaries. Cartesian grid solution of the Euler equations using a gridless boundary condition treatment. AIAA Paper ; An embedded Cartesian grid Euler solver with radial basis function for boundary condition implementation. A high-resolution method for flow simulations with Cartesian mesh method.
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- Making Crystals by Design. Methods, Techniques and Applns.
A Cartesian-based embedded geometry technique with adaptive high-order finite differences for compressible flow around complex geometries. Difference Methods for Initial Value Problems. London: Wiley-Interscience; Performance of compressible flow codes at low mach number.
Numerical calculation of time-dependent viscous incompressible flow with free surface. Phys Fluids ; Numerical heat transfer and fluid flow. New York: McGraw-Hill; Computation of unsteady viscous flow using a pressure-based algorithm.
Principles of Computational Fluid Dynamics / Edition 1
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Essential Computational Fluid Dynamics
They are oriented more toward practical applications than theory, and are intended to serve as a unified source for basic material in the CFD field as well as an introduction to more specialized topics in artificial viscosity and boundary conditions. Each chapter in the test is associated with a videotaped lecture.
The basic properties of conservation laws, wave equations, and shock waves are described. The duality of the conservation law and wave representations is investigated, and shock waves are examined in some detail. Finite difference techniques are introduced for the solution of wave equations and conservation laws. Stability analysis for finite difference approximations are presented.