linearization

February 27, 2007, 04:36

Hello, could anyone give me some tips on the following issue: linearization for the implicit time discretization of the following equation:

d(r)/dt + div(grad(phi)) = 0

with

r = r0 * ( 1 - (grad(phi))^2/(2*H0) )^(1/(gamma - 1))

t is time and r0 and H0 are reference (fixed) values. The non-linearity comes in with the dependence of r to phi, which is the independent variable. Thanks a lot for your help.

February 27, 2007, 04:51

Sorry there was an error, the actual equation is:

d(r)/dt + div( r * grad(phi) ) = 0

with

r = r0 * ( 1 - (grad(phi))^2/(2*H0) )^(1/(gamma - 1))

February 27, 2007, 04:36	linearization	#1
Al Guest Posts: n/a	Hello, could anyone give me some tips on the following issue: linearization for the implicit time discretization of the following equation: d(r)/dt + div(grad(phi)) = 0 with r = r0 * ( 1 - (grad(phi))^2/(2*H0) )^(1/(gamma - 1)) t is time and r0 and H0 are reference (fixed) values. The non-linearity comes in with the dependence of r to phi, which is the independent variable. Thanks a lot for your help.

February 27, 2007, 04:51	Debugged equation	#2
Al Guest Posts: n/a	Sorry there was an error, the actual equation is: d(r)/dt + div( r * grad(phi) ) = 0 with r = r0 * ( 1 - (grad(phi))^2/(2*H0) )^(1/(gamma - 1))

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