A locally adaptive non-hydrostatic extension to shallow water equations reduces computational cost by about 40% in tsunami scenarios by applying corrections only where indicated by depth and velocity metrics.
A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics.Journal of Computational Physics2021; 442: 110467
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Develops energy-stable asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation via SBP operators and IMEX Runge-Kutta methods guided by relative-energy error estimates.
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Two-Dimensional Locally Adaptive Non-Hydrostatic Extension of Shallow Water Equations
A locally adaptive non-hydrostatic extension to shallow water equations reduces computational cost by about 40% in tsunami scenarios by applying corrections only where indicated by depth and velocity metrics.
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Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation
Develops energy-stable asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation via SBP operators and IMEX Runge-Kutta methods guided by relative-energy error estimates.