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Explicit, Upwind Difference Solutions

Given a distribution of oxygen at an initial time, n, through the boundary conditions, the concentration profile at time n -I-1 can be found from rearranging equation (E7.2.4)  [Pg.183]

Upwind differences are typical for convective flux, where the upstream concentration is important to determine the convective flux at the upstream interface. Upwind differences have a lower numerical diffusion than central differences [Pg.183]

The diffusive fluxes are still appropriately deflned with central differences. However, in two- and three-dimensional computational domains, where there are two and three independent variables, it is difficult to know in which direction the flow is moving at all locations and times. For example, in our one-dimensional case, if m is a negative value, then our flux terms at the interfaces would become [Pg.184]

We will therefore use a notation, [iF+, F JJ, which indicates the greater of and [Pg.184]


See other pages where Explicit, Upwind Difference Solutions is mentioned: [Pg.183]    [Pg.183]    [Pg.185]    [Pg.187]    [Pg.183]    [Pg.183]    [Pg.185]    [Pg.187]   


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Upwind Difference Solutions

Upwinding

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