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Derivatives in level set or phase field physics
Posted 05.04.2017, 14:42 GMT-4 Fluid & Heat, Heat Transfer & Phase Change, Computational Fluid Dynamics (CFD), Mesh, Parameters, Variables, & Functions, Studies & Solvers 0 Replies
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Suppose that you need to solve the heat conduction equation in two fluids coupled to the level set/phase field method:
∇∙(-k∇T)=0 with constant thermal conductivities of the fluids (k).
For the sharp interface physics, we can drop k and the equation becomes the Laplace's equation∇^2T=0
My question is that:
What is the equation to be solved when using the level set/phase field method?
Of course in this case, k is not constant anymore and is a function of levelset/phase field variable (φ).
Should we take k(φ) out of the derivative (-k(∇^2T)) or not (∇∙(-k∇T)=0)?
Amin,
Hello Mohammad Amin Kazemi
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