A Transport Solution for Plasma Fluid Equations that Conserves Particles, Momentum, & Energy

A predictive transport computational model that solves a recently postulated form of the plasma fluidequations that conserves particles, momentum, and energy is presented. The transport equations were proposed to capture the radial profiles resulting from neutral sources thatinsert particles, momentum, and energy;ion orbit loss,which removes particles and their associated momentum and energy in a non-diffusive manner;and theequilibrium field conditions of toroidal and poloidal rotation velocities, plasma pressure, density, and temperature. The equations are first order, coupled, non-linear equations, resulting fromthe long-rangeLorentz (V×B) and electric field (??) forces.A major contribution of this research is the application of the multivariant solver,Broyden'smethod. It is optimal because it is appropriate for non-linear equations, approaches the convergence speed of a Newton-Raphson solver, and is more computationally efficient because it uses a secant method update strategy for approximating the Jacobian. The predictive performance of this approach will becompared against a variety of shots including L-, H-, and Super H-modes,some withResonant Magnetic Perturbations applied,and some with negative triangularityshape, the results of which will bepresented.