Grid generation

It is not possible here to review the variety of existing techniques for grid generation. Instead, some rules of thumb governing the choice of grids are discussed. Perhaps the single most important consideration in 

One usually begins with a computation on a coarse grid in order to ensure that the geometry, boundary conditions, initial conditions and fluid properties are properly implemented. A preliminary flow solution is obtained in this fashion. Coarse-grid solutions, combined with any other 

Except when natural convection is considered, the analysis of mass transfer can be determined after the flow field is obtained. Here, we thus assume that fluid velocity fields are known. Since Schmidt numbers in aqueous electrolytes are typically on the order of 1000 and can be much larger, the accurate resolution of concentration fields may require much finer meshes than those for the flow fields. It thus may be advantageous to develop methodologies that permit the use of different grids for the concentration fields. 

Various methods can be used for the discretization of the governing equations, including FDM, FEM, and FVM. FDM is well known in electrochemistry and is derived by using truncated Taylor series for the approximation of derivatives. FVM, which is less well known in electrochemistry but is commonly employed for CFD, is discussed here. 

---

In most types of unstructured grid generation a secondary smoothing is required to improve the mesh properties. 

Liseikiii, V.D., 1999. Grid Generation Methods, Springer-Verlag, Berlin. 

J.F. Thompson, Z.U.A. Warsi, and C.W. Mastin, Numerical Grid Generation, North-Holland, Amsterdam, 1985. 

Grid generation by subdividing the domain into a number of smaller non-overlapping subdomains. This creates a grid (or mesh) of cells (or control volumes or elements). 

Bennani, A., J. N. Gence, and J. Mathieu (1985). The influence of a grid-generated turbulence on the development of chemical reactions. AIChE Journal 31, 1157-1166. 

Jayesh and Z. Warhaft (1992). Probability distribution, conditional dissipation, and transport of passive temperature fluctuations in grid-generated turbulence. Physics of Fluids A Fluid Dynamics 4, 2292-2307. 

D.C. Ives. Conformal grid generation. In Numerical Grid Generation, page 107, New York, 1982. Elsevier. 

R.E. Smith and L.J. Johnson. Automatic grid generation and flow solution for complex geometries. A1AAJ., 34 1120, 1996. 

Luminescence of the brain slices is expressed as the integration of photon emission per time unit (cts/sec) to be able to compare the extent of photon emission in brain nuclei characterized by different areas, the data are expressed as cts/sec/mm2. Photon emission in selected brain areas is quantified by means of a grid generated with the aid of a brain atlas. 

Imagine a world in which you can drive your car to work each day without consuming any oil or producing any pollution. When you park your car at work or at home, you hook it up to the power grid, generating pollution-free electricity for your community. And, as part of the deal, you get money back from your utility. 

Preprocessing. Especially for analysis of fluid flow phenomena in complex geometries, the availability of efficient and easy-to-use preprocessors for both problem definition and grid generation is of crucial importance. Fortunately, most commercially available CFD packages meet this requirement. 

Thompson, J. E, Warsi, Z. U. A., and Mastin, C. W., Numerical Grid Generation, Foundations and Applications. North-Holland, New York, 1985. 

---