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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 Y: (V*y = 0). Here, V* is called the biharmonic operator. In cartesian coordinate, this operator is defined at az +2- ax 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 Y: (V*y = 0). Here, V* is called the biharmonic operator. In cartesian coordinate, this operator is defined at az +2- ax Derive a second order central difference discretization of the biharmonic equation.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Problem 2 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 Y: (V*Y = 0). Here, V* is called the bihamonic operator. In cartesian coordinate, this operator is defined a2 +. + 2 Derive a second order central difference discretization of the biharmonic equation. the idea of this question but i didn't complete Cil - 2 Gi + Bi-l -2/8 Jx2
Transcribed Image Text:Problem 2 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 Y: (V*Y = 0). Here, V* is called the bihamonic operator. In cartesian coordinate, this operator is defined a2 +. + 2 Derive a second order central difference discretization of the biharmonic equation. the idea of this question but i didn't complete Cil - 2 Gi + Bi-l -2/8 Jx2
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