GeMotion.jl: A Navier-Stokes-Fourier Solver for generalized material laws

• Different material laws, including:
  • Newtonian fluids $\boldsymbol{\sigma} = \boldsymbol{D}(\boldsymbol{u}) = 1/2 (\boldsymbol{\nabla} \boldsymbol{u} + \boldsymbol{\nabla} \boldsymbol{u}^T)$
  • Non-Newtonian fluids with power-law: $\boldsymbol{\sigma} = K {\left(2 \boldsymbol{D} \boldsymbol{\colon} \boldsymbol{D} \right)}^{\frac{1-n}{2}} \boldsymbol{D}(\boldsymbol{u})$
• Discretization using Finite Elements in Gridap.jl
• Solve nonlinear systems using Newtons method

Installation

• Clone the repository and open its folder

git clone [email protected]:lamBOOO/GeMotion.jl.git
cd GeMotion.jl

• Install all Julia dependencies

julia --project -e 'import Pkg; Pkg.instantiate()'

• Run examples by navigating to the folder and execute the examples from the shell:

cd examples/validation-basak
julia --project basak.jl