In computational physics, the term advection scheme refers to a class of numerical discretization methods for solving hyperbolic partial differential equations. In the so-called upwind schemes typically, the so-called upstream variables are used to calculate the derivatives in a flow field. That is, derivatives are estimated using a set of data points biased to be more "upwind" of the query point, with respect to the direction of the flow. Historically, the origin of upwind methods can be traced back to the work of Courant, Isaacson, and Rees who proposed the CIR method.[1]
^Courant, Richard; Isaacson, E; Rees, M. (1952). "On the Solution of Nonlinear Hyperbolic Differential Equations by Finite Differences". Comm. Pure Appl. Math. 5 (3): 243..255. doi:10.1002/cpa.3160050303.
scheme refers to a class of numerical discretization methods for solving hyperbolic partial differential equations. In the so-called upwindschemes typically...
The upwind differencing scheme is a method used in numerical methods in computational fluid dynamics for convection–diffusion problems. This scheme is...
are the central differencing scheme, upwindscheme, hybrid scheme, power law scheme and QUICK scheme. The QUICK scheme was presented by Brian P. Leonard...
when the upwindscheme is used to approximate the convection term in convection–diffusion equations. The more accurate central difference scheme can be...
difference scheme and upwind difference scheme as it exploits the favorable properties of both of these schemes. Hybrid difference scheme is a method...
needed to approach a steady state. More accurate than the first-order upwindscheme if the Peclet number is less than 2. Somewhat more dissipative Leads...
linear equations, the MacCormack scheme is equivalent to the Lax–Wendroff method. Unlike first-order upwindscheme, the MacCormack does not introduce...
in the Level-Set method. Whereas a first order upwindscheme smears the interface, a downwind scheme of the same order will cause a false distribution...
central difference scheme, upwindscheme, hybrid difference scheme, and power law scheme gives false shock predictions. TVD scheme enables sharper shock...
S.R.; Osher, S. (1983), "High resolution applications of the Osher upwindscheme for the Euler equations", Proc. AIAA 6th Computational Fluid Dynamics...
variable. The basic scheme of Godunov uses piecewise constant approximations for each cell, and results in a first-order upwind discretisation of the...
approximately equal to the value at upwind boundary which is assumption made by the upwind differencing scheme. In this scheme diffusion is set to zero when...
Order of Alexander Nevsky Riemann solver Total variation diminishing Upwindscheme В Новосибирске скончался выдающийся математик, академик РАН Сергей Годунов...
sail in when sailing upwind and letting it out when sailing downwind. boat Trim - sitting at the front of the boat when sailing upwind and at the back when...
controllability of the surface of the mainsail and also less drag when sailing upwind. According to one manufacturer, "a key to making fast boats easier to sail...
generator, pump, tasking line set, or lever is installed on the ground upwind of the wing and driven by the operation of two or three or more tethers...
conservation equations. It is based on the upwind concept and was motivated to provide an alternative approach to other upwind methods, such as the Godunov method...
softx.2019.01.007. ISSN 2352-7110. Brio, M., Wu, C. C.(1988), "An upwind differencing scheme for the equations of ideal magnetohydrodynamics", Journal of Computational...
that they are independent of any topographic obstacle. Dunes have gentle upwind slopes on the windward side. The downwind portion of the dune, the lee slope...
Global Information