grad_v_dot_n1, grad_v_dot_n2, grad_v_dot_n3#

EQ = grad_v_dot_n[1|2|3] {Galerkin_wt} gamma3_[1|2|3] {Interpol_fnc} <float1>

Description / Usage#

This card provides information for solving a definition equation for the normal components of the velocity gradient tensor in a 2-dimensional bar element. Note that this equation is not yet available in three dimensions and is in fact untested at this time.. These building blocks are required by the non-Newtonian surface rheology capability in Goma. Note that <floatlist> contains one constant and it should always be set to one. The Galerkin weight and the interpolation function must be the same for the code to work properly.

grad_v_dot_n1, grad_v_dot_n2, grad_v_dot_n3

Name of the equation to be solved.


Two- or four-character value that defines the type of weighting function for this equation, where:

  • Q1-Linear

  • Q2-Quadratic


Name of the variable associated with the shell curvature equation.


Two- or four-character value that defines the interpolation function used to represent the variable K where:

  • Q1-Linear Continuous

  • Q2-Quadratic Continuous


Multiplier on whole equation. Set to 1.0.


The following is a sample card that uses linear continuous curvature interpolation and weight function:

EQ = grad_v_dot_n1 Q1 gamma3_1 Q1 1.0

Technical Discussion#

See discussion for EQ=shell_surf_div_v


Edwards, D. A., Brenner, H., Wasan, D. T., 1991. Interfacial Transport Processes and Rheology. Butterworth-Heinemann, Boston.