2-D linearised Euler equation

(Difference between revisions)

Revision as of 02:08, 8 October 2005

Problem Definition

$\frac{\partial u}{\partial t}+M \frac{\partial u}{\partial x}+\frac{\partial p}{\partial x}=0$

$\frac{\partial v}{\partial t}+M \frac{\partial v}{\partial x}+\frac{\partial p}{\partial y}=0$

$\frac{\partial p}{\partial t}+\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}+M\frac{\partial p}{\partial x}=0$

$\frac{\partial \rho}{\partial t}+\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}+M\frac{\partial \rho}{\partial x}=0$

where M is the mach number , speed of sound is assumed to be 1, all the variabled refer to acoustic perturbations over the mean flow.

Domain [-50,50]*[-50,50]

Initial Condition

Boundary Condition

Numerical Method

Results

Reference

@@ Line 4: / Line 4: @@
 :<math> \frac{\partial p}{\partial t}+\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}+M\frac{\partial p}{\partial x}=0 </math>
 :<math> \frac{\partial \rho}{\partial t}+\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}+M\frac{\partial \rho}{\partial x}=0 </math>
+where  M is the mach number , speed of sound is assumed to be 1, all the variabled refer to acoustic perturbations over the mean flow.
+:Domain [-50,50]*[-50,50]
+:Initial Condition
+:Boundary Condition
+:Numerical Method
+:Results
+:Reference