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We also construct a Weighted Essentially Non-Oscillatory (WENO) limiter for the proposed DG-H schemes and apply it to discontinuous problems.
Building on Zalesak's multidimensional flux-corrected transport (FCT) algorithm, we construct a new positivity-preserving limiter for the density, total energy, and pressure.
A weighted essentially non-oscillatory reconstruction scheme based on Hermite polynomials is developed and applied as a limiter for the discontinuous Galerkin finite element method on unstructured grids.
A control system of a flowing liquid lithium (FLiLi) limiter for the Experimental Advanced Superconducting Tokamak (EAST) was developed and implemented.
The numerical scheme incorporates second-order Runge Kutta advancing in time and Kurganov–Tadmor scheme with van Leer flux limiter for the approximation of fluxes.
We describe a limiter for the discontinuous Galerkin method that retains as high an order as possible, and does not automatically reduce to first order.
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In this paper, we develop a discontinuous Galerkin (DG) method to solve the ideal special relativistic hydrodynamics (RHD) and design a bound-preserving (BP) limiter for this scheme by extending the idea in X. Zhang and C.-W. Shu, (2010) [56].
A limiter for this scheme is fully described that never decreases the polynomial degree, except at the location of extrema.
We introduce a new family of optimization based limiters for the h p spectral element method.
The first model uses the energy limiter with the overall energy term while the second model has separate energy limiters for the volumetric and deviatoric components.
Qiu, C.-W. Shu, Runge Kutta discontinuous Galerkin method using WENO limiters, SIAM Journal on Scientific Computing 26 (2005) 907 929], Qiu and Shu investigated using weighted essentially non-oscillatory (WENO) finite volume methodology as limiters for the Runge Kutta discontinuous Galerkin (RKDG) methods for solving nonlinear hyperbolic conservation law systems on structured meshes.
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