A Cartesian grid finite-difference method for 2D incompressible viscous flows in irregular geometries Export

@article{citeulike:1397427, abstract = {A method for generating a non-uniform Cartesian grid for irregular two-dimensional (2D) geometries such that all the boundary points are regular mesh points is given. The resulting non-uniform grid is used to discretize the Navier-Stokes equations for 2D incompressible viscous flows using finite-difference approximations. To that end, finite-difference approximations of the derivatives on a non-uniform mesh are given. We test the method with two different examples: the shallow water flow on a lake with irregular contour and the pressure driven flow through an irregular array of circular cylinders.}, author = {Sanmiguel-Rojas, E. and Ortega-Casanova, J. and Pino, Del C. and Fernandez-Feria, R.}, citeulike-article-id = {1397427}, citeulike-linkout-0 = {http://www.sciencedirect.com/science/article/B6WHY-4DS6T02-6/2/0899bb1dfc4653e1c591a30fd9475c4e}, comment = {The only reason I have this listed is for 2nd-order evaluation of FD derivatives for irregular grids.}, day = {20}, journal = {Journal of Computational Physics}, keywords = {finite-difference, irregular-grid}, month = {March}, number = {1}, pages = {302--318}, posted-at = {2007-06-18 18:51:04}, priority = {0}, title = {A Cartesian grid finite-difference method for 2D incompressible viscous flows in irregular geometries}, url = {http://www.sciencedirect.com/science/article/B6WHY-4DS6T02-6/2/0899bb1dfc4653e1c591a30fd9475c4e}, volume = {204}, year = {2005} }

TY - JOUR ID - citeulike:1397427 L3 - citeulike-article-id:1397427 N2 - A method for generating a non-uniform Cartesian grid for irregular two-dimensional (2D) geometries such that all the boundary points are regular mesh points is given. The resulting non-uniform grid is used to discretize the Navier-Stokes equations for 2D incompressible viscous flows using finite-difference approximations. To that end, finite-difference approximations of the derivatives on a non-uniform mesh are given. We test the method with two different examples: the shallow water flow on a lake with irregular contour and the pressure driven flow through an irregular array of circular cylinders. IS - 1 JF - Journal of Computational Physics EP - 318 TI - A Cartesian grid finite-difference method for 2D incompressible viscous flows in irregular geometries VL - 204 SP - 302 KW - finite-difference KW - irregular-grid N1 - The only reason I have this listed is for 2nd-order evaluation of FD derivatives for irregular grids. AU - Sanmiguel-Rojas, E AU - Ortega-Casanova, J AU - Pino, Del AU - Fernandez-Feria, R PY - 2005/03/20/ UR - http://www.sciencedirect.com/science/article/B6WHY-4DS6T02-6/2/0899bb1dfc4653e1c591a30fd9475c4e ER -