Kinetic Energy Equation ==================================================================== ====================================================================================================================================================== ====== ======================== :math:`-c_3\mathrm{f}_1\boldsymbol{v}\cdot\boldsymbol{\nabla}\left(\frac{P}{\mathrm{f}_1}\right)` 1901 press\_work :math:`-c_3\mathrm{f}_1\boldsymbol{v'}\cdot\boldsymbol{\nabla}\left(\frac{P'}{\mathrm{f}_1}\right)` 1902 press\_work\_pp :math:`-c_3\mathrm{f}_1\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\left(\frac{\overline{P}}{\mathrm{f}_1}\right)` 1903 press\_work\_mm :math:`c_2v_r\mathrm{f}_2\Theta` 1904 buoy\_work :math:`c_2v'_r\mathrm{f}_2\Theta'` 1905 buoy\_work\_pp :math:`c_2\overline{v_r}\mathrm{f}_2\overline{\Theta}` 1906 buoy\_work\_mm :math:`c_5\boldsymbol{v}\cdot\left[\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal{D}}\right]` 1907 visc\_work :math:`c_5\boldsymbol{v'}\cdot\left[\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal{D'}}\right]` 1908 visc\_work\_pp :math:`c_5\overline{\boldsymbol{v}}\cdot\left[\boldsymbol{\nabla}\cdot\overline{\boldsymbol{\mathcal{D}}}\right]` 1909 visc\_work\_mm :math:`\mathrm{f}_1\boldsymbol{v}\cdot\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]` 1910 advec\_work :math:`\mathrm{f}_1\boldsymbol{v'}\cdot\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]` 1911 advec\_work\_ppp :math:`\mathrm{f}_1\overline{\boldsymbol{v}}\cdot\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]` 1912 advec\_work\_mpp :math:`\mathrm{f}_1\boldsymbol{v'}\cdot\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]` 1913 advec\_work\_pmp :math:`\mathrm{f}_1\boldsymbol{v'}\cdot\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]` 1914 advec\_work\_ppm :math:`\mathrm{f}_1\overline{\boldsymbol{v}}\cdot\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]` 1915 advec\_work\_mmm :math:`c_4\boldsymbol{v}\cdot\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B}\right)\times\boldsymbol{B}\right]` 1916 mag\_work :math:`c_4\boldsymbol{v'}\cdot\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\times\boldsymbol{B'}\right]` 1918 mag\_work\_ppp :math:`c_4\overline{\boldsymbol{v}}\cdot\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\times\boldsymbol{B'}\right]` 1919 mag\_work\_mpp :math:`c_4\boldsymbol{v'}\cdot\left[\left(\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\times\boldsymbol{B'}\right]` 1920 mag\_work\_pmp :math:`c_4\boldsymbol{v'}\cdot\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\times\overline{\boldsymbol{B}}\right]` 1921 mag\_work\_ppm :math:`c_4\overline{\boldsymbol{v}}\cdot\left[\left(\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\times\overline{\boldsymbol{B}}\right]` 1922 mag\_work\_mmm :math:`\frac{1}{2}\mathrm{f}_1v_r\,v^2` 1923 ke\_flux\_radial :math:`\frac{1}{2}\mathrm{f}_1v_\theta\,v^2` 1924 ke\_flux\_theta :math:`\frac{1}{2}\mathrm{f}_1v_\phi\,v^2` 1925 ke\_flux\_phi :math:`\frac{1}{2}\mathrm{f}_1\,\overline{v_r}\,\overline{v}^2` 1926 mke\_mflux\_radial :math:`\frac{1}{2}\mathrm{f}_1\,\overline{v_\theta}\,\overline{v}^2` 1927 mke\_mflux\_theta :math:`\frac{1}{2}\mathrm{f}_1\,\overline{v_\phi}\,\overline{v}^2` 1928 mke\_mflux\_phi :math:`\frac{1}{2}\mathrm{f}_1\,\overline{v_r}\,{v'}^2` 1929 pke\_mflux\_radial :math:`\frac{1}{2}\mathrm{f}_1\,\overline{v_\theta}\,{v'}^2` 1930 pke\_mflux\_theta :math:`\frac{1}{2}\mathrm{f}_1\,\overline{v_\phi}\,{v'}^2` 1931 pke\_mflux\_phi :math:`\frac{1}{2}\mathrm{f}_1\,v'_r\,{v'}^2` 1932 pke\_pflux\_radial :math:`\frac{1}{2}\mathrm{f}_1\,v'_\theta\,{v'}^2` 1933 pke\_pflux\_theta :math:`\frac{1}{2}\mathrm{f}_1\,v'_\phi\,{v'}^2` 1934 pke\_pflux\_phi :math:`c_5\left[\boldsymbol{v}\cdot\boldsymbol{\mathcal{D}} \right]_r` 1935 visc\_flux\_r :math:`c_5\left[\boldsymbol{v}\cdot\boldsymbol{\mathcal{D}} \right]_\theta` 1936 visc\_flux\_theta :math:`c_5\left[\boldsymbol{v}\cdot\boldsymbol{\mathcal{D}} \right]_\phi` 1937 visc\_flux\_phi :math:`c_5\left[\boldsymbol{v'}\cdot\boldsymbol{\mathcal{D'}} \right]_r` 1938 visc\_fluxpp\_r :math:`c_5\left[\boldsymbol{v'}\cdot\boldsymbol{\mathcal{D'}} \right]_\theta` 1939 visc\_fluxpp\_theta :math:`c_5\left[\boldsymbol{v'}\cdot\boldsymbol{\mathcal{D'}} \right]_\phi` 1940 visc\_fluxpp\_phi :math:`c_5\left[\boldsymbol{\overline{v}}\cdot\boldsymbol{\overline{\mathcal{D}}} \right]_r` 1941 visc\_fluxmm\_r :math:`c_5\left[\boldsymbol{\overline{v}}\cdot\boldsymbol{\overline{\mathcal{D}}} \right]_\theta` 1942 visc\_fluxmm\_theta :math:`c_5\left[\boldsymbol{\overline{v}}\cdot\boldsymbol{\overline{\mathcal{D}}} \right]_\phi` 1943 visc\_fluxmm\_phi :math:`-c_3v_r P` 1944 press\_flux\_r :math:`-c_3v_\theta P` 1945 press\_flux\_theta :math:`-c_3v_\phi P` 1946 press\_flux\_phi :math:`-c_3v'_r P'` 1947 press\_fluxpp\_r :math:`-c_3v'_\theta P'` 1948 press\_fluxpp\_theta :math:`-c_3v'_\phi P'` 1949 press\_fluxpp\_phi :math:`-c_3\overline{v_r}\, \overline{P}` 1950 press\_fluxmm\_r :math:`-c_3\overline{v_\theta}\, \overline{P}` 1951 press\_fluxmm\_theta :math:`-c_3\overline{v_\phi}\, \overline{P}` 1952 press\_fluxmm\_phi :math:`--` 1953 production\_shear\_ke :math:`--` 1954 production\_shear\_pke :math:`--` 1955 production\_shear\_mke ====================================================================================================================================================== ====== ========================