Despite the fact that there are more linear techniques and methods than nonlinear ones, the physical world is a nonlinear place. Fluid mechanics frequently exhibits nonlinearity, including the following:
The material parameters used in modeling heat conduction, such as conductivity or specific heat, may be temperature dependent, and thus cause a nonlinearity.
In Newtonian flows, inertia terms are quadratic in terms of the velocity components; also, the shear-rate dependence of the viscosity causes nonlinearity.
In nonisothermal flow problems, heat convection generates terms that are products of velocity components and temperature gradients.
In viscoelastic flows, the constitutive equations are highly nonlinear.
The evolution procedure in Ansys Polyflow greatly simplifies the handling of the computational difficulties of nonlinear problems.