Module: MSolve

Semi-implicit thin film solver for second order differential equations of form:

\[ \frac{\eta}{\Delta t} - G_{ij} \eta_{,ij}= rhs \]

• Name: mod_mupro_msolve

• Depends on: mod_mupro_base, mod_mupro_fft, mod_mupro_log

• Defined variables: None

• Defined types: - type_mupro_MsolveContext - type_mupro_MsolveSolveContext

• Defined subroutines: - mupro_msolve_setup - mupro_msolve_solve

Defined Types

type_msolve

Variable	Type	Dimension
Mmsolve,Vmsolve,Ymsolve	real64	dimension(:, :, :, :)
delop	real64	dimension(:, :, :, :)
bc	complex real64	dimension(:, :, :, :)
BCTop,BCBot	int32	-

type_mupro_MsolveContext

Variable	Type	Dimension	Meaning
gradient_coefficient	real64	(3)	Gradient coefficient
BCTop	int32	-	BC for film surface
BCBot	int32	-	BC for film substrate interface
sysArray	type_msolve	-	Necessary information for the solver

type_mupro_MsolveSolveContext

Variable	Type	Dimension	Meaning
rin	real64	(z,y,x)	The right hand side of the equation
pout	real64	(z,y,x)	The evolved order parameter distribution
dt	real64	-	Marching step for each simulation
sysArray	type_msolve	-	sysArray from the msolve_setup

Defined Subroutines

mupro_msolve_setup

Preparation for the msolve solver

call mupro_msolve_setup(context)

Argument	Type(Intent)	Meaning
context	type_mupro_MsolveContext(INOUT)	The msolve setup context

mupro_msolve_solve

Evolve the Time-Dependent Ginzburg Landau equation semi-implicitly, march forward the order parameter distribution for one time step.

call mupro_msolve_solve(context)

Argument	Type(Intent)	Dimension
context	type_mupro_MsolveSolveContext(INOUT)	The msolve solver context