*********************************************** **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} ----------------------- **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 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. | +-----------------------------------------------+-----------------------------------------------+ |{Galerkin_wt} |Two- or four-character value that defines the | | |type of weighting function for this equation, | | |where: | | | | | | * **Q1**-Linear | | | * **Q2**-Quadratic | +-----------------------------------------------+-----------------------------------------------+ |**gamma3_[1|2|3]** |Name of the variable associated with the shell | | |curvature equation. | +-----------------------------------------------+-----------------------------------------------+ |{Interpol_fnc} |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. | +-----------------------------------------------+-----------------------------------------------+ ------------ **Examples** ------------ 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 -------------- **References** -------------- Edwards, D. A., Brenner, H., Wasan, D. T., 1991. Interfacial Transport Processes and Rheology. Butterworth-Heinemann, Boston.