In quasi-steady-state creeping flow it is possible to combine the mass conservation equation and the momentum equation to generate a new equation in terms of the stream function W: (V*Y = 0). Here, V is called the biharmonic operator. In cartesian coordinate, this operator is defined a4 a2 a4 V4= +2 Derive a second order central difference discretization of the biharmonic equation.
In quasi-steady-state creeping flow it is possible to combine the mass conservation equation and the momentum equation to generate a new equation in terms of the stream function W: (V*Y = 0). Here, V is called the biharmonic operator. In cartesian coordinate, this operator is defined a4 a2 a4 V4= +2 Derive a second order central difference discretization of the biharmonic equation.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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Transcribed Image Text:In quasi-steady-state creeping flow it is possible to combine the mass conservation equation and the
momentum equation to generate a new equation in terms of the stream function W: (VY = 0). Here, V is
called the biharmonic operator. In cartesian coordinate, this operator is defined
a4
+2
əx²əy2 ' ay*
a2
a4
Derive a second order central difference discretization of the biharmonic equation.
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