€ I /aB, the original 15 MA ITER baseline rampup in 110 s scales to 1.7 MA in 2.2 s for DIII-D. For the large-bore ITER scenario, discussed below, a faster ramp is specified corresponding to 1.64 MA in 1.6 s in DIII-D. In DIII-D, there are three poloidal bumper limiters on the LFS, extending 2 cm from the surrounding graphite wall tiles. In DIII-D, the original ITER startup baseline scenario ha...

We present a discontinuous Galerkin (DG) scheme with suitable quadrature rules [15] for ideal compressible magnetohydrodynamic (MHD) equations on structural meshes. The semi-discrete scheme is analyzed to be entropy stable by using the symmetrizable version of the equations as introduced by Godunov [32], the entropy stable DG framework with suitable quadrature rules [15], the entropy conservati...

We present a robust, highly accurate, and efficient positivity- boundedness-preserving diffuse interface method for the simulations of compressible gas-liquid two-phase flows with five-equation model by Allaire et al. using high-order finite difference weighted compact nonlinear scheme (WCNS) in explicit form. The equation states gas liquid are given ideal stiffened laws respectively. Under mil...

Abstract. The nonoscillatory central difference scheme of Nessyahu and Tadmor is a Godunovtype scheme for one-dimensional hyperbolic conservation laws in which the resolution of Riemann problems at the cell interfaces is bypassed thanks to the use of the staggered Lax–Friedrichs scheme. Piecewise linear MUSCL-type (monotonic upstream-centered scheme for conservation laws) cell interpolants and ...

In this work we present a framework for enforcing discrete maximum principles in discontinuous Galerkin (DG) discretizations. The developed schemes are applicable to scalar conservation laws as well hyperbolic systems. Our methodology limiting volume terms is similar recently proposed methods continuous approximations, while DG flux require novel stabilization techniques. Piecewise Bernstein po...

This is an extension of our earlier work [9] in which a high order stable method was constructed for solving hyperbolic conservation laws on arbitrarily distributed point clouds. An algorithm of building a suitable polygonal mesh based on the random points was given and the traditional discontinuous Galerkin (DG) method was adopted on the constructed polygonal mesh. Numerical results in [9] sho...

Transport algorithms are highly important for dynamical modeling of the atmosphere, where it is critical that scalar tracer species are conserved and satisfy physical bounds. In this paper we present an optimization-based algorithm for the conservative transport of scalar quantities (i.e. mass) on the cubed sphere grid, which preserves monotonicity without the use of flux limiters. In this meth...

Higher-order finite-volume methods have been shown to be more efficient than secondorder methods. However no consensus has been reached on how to eliminating the oscillations caused by solution discontinuities. Essentially non-oscillatory (ENO) schemes provide a solution but are computationally expensive to implement and may not converge well for steady-state problems. This work studies the app...

We present a conservative second order accurate finite volume discretization of the magnetohydrodynamics equations including the Hall term. The scheme is generalized to three-dimensional block-adaptive grids with Cartesian or generalized coordinates. The second order accurate discretization of the Hall term at grid resolution changes is described in detail. Both explicit and implicit time integ...