SIMPLE (mathematics)

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The SIMPLE algorithm ( S EMI i mplicit M ethod for P ressure L inked E quations) is in the numerical fluid mechanics to solve the Stokes equations Navier- of unknown pressure field used.

The basic idea on which SIMPLE is based is to estimate the unknown pressure field, to use it to calculate the speed fields and to determine a pressure correction and then a speed correction with the help of the continuity equation. This procedure is repeated until the continuity equation is satisfied within the specified accuracy.

A modified variant is the SIMPLER algorithm (SIMPLE Revised), which was introduced by Patankar in 1979 .

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