********************* **Coordinate System** ********************* :: Coordinate System = {char_string} ----------------------- **Description / Usage** ----------------------- This card is required for each material section in the *Problem Description File*. It is used to specify formulation of the equations to be solved. Valid options for {char_string} are as follows: ======================= ================================================== **CARTESIAN** For a two (x-y) or three (x-y-z) dimensional Cartesian formulation. **CYLINDRICAL** For an axisymmetric (z-r) or three-dimensional cylindrical (z-r-:math:`\theta`) formulation; the three-dimensional option has not been tested. **SPHERICAL** For a spherical (r-:math:`\theta`-:math:`\phi`) formulation. **SWIRLING** For a two-dimensional formulation (z-r-:math:`\theta`) with a swirling velocity component that is independent of azimuthal coordinate. **PROJECTED_CARTESIAN** For use in the analysis of the three-dimensional stability of a two-dimensional flow field. The formulation (x-yz) has a z-velocity component that is independent of the z-direction. ======================= ================================================== ------------ **Examples** ------------ The following is a sample card that sets the coordinate system to Cartesian: :: Coordinate System = CARTESIAN ------------------------- **Technical Discussion** ------------------------- Note the coordinate ordering for the **CYLINDRICAL** and **SWIRLING** options where the z-direction is first followed by the r-component (which in lay terms means the modeled region/part will appear to be ”lying down.”) If the **SWIRLING** option is activated, *Goma* expects a third momentum equation for the :math:`\theta`-direction, i.e. *EQ = momentum3*, as explained in the equation section. The third component is basically the azimuthal :math:`\theta`-velocity component, and the appropriate boundary conditions must be applied, e.g., on the w-component as described in the *Category 4* boundary conditions for *Fluid Momentum Equations*. -------------- **References** -------------- No References.