Advanced methods for practical applications in fluid by Steven A Jones, fizik

By Steven A Jones, fizik

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Numerical results The parameters of coordinate transformation (7) have the form: 1  x   ξ ( x ) = K + arsh  − 1  sh(τ K ) , τ  xс   z  1−   β +1 a  η ( z ) = H ( β + 1 ) − ( β − 1 )    β − 1     K= z   1−  β + 1  a + 1  ,  β − 1     1  x   x  ln  1 + ( eτ − 1) c   1 − ( eτ − 1) c   , L  L  2τ  β and τ are refinement factors ( β >1 and τ >1), a is the height of the computational domain in the generalized coordinates, and xc is the point with respect to which grid refinement is performed.

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