Arbitrarily High-Order Maximum Bound Preserving Schemes with Cut-off Postprocessing for Allen–Cahn Equations
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-021-01746-y
Abstract: We develop and analyze a class of maximum bound preserving schemes for approximately solving Allen–Cahn equations. We apply a k th-order single-step scheme in time (where the nonlinear term is linearized by multi-step extrapolation), and… read more here.
Keywords: order; arbitrarily high; preserving schemes; bound preserving ... See more keywords
Bound-preserving Flux Limiting for High-Order Explicit Runge–Kutta Time Discretizations of Hyperbolic Conservation Laws
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DOI: 10.1007/s10915-022-01784-0
Abstract: We introduce a general framework for enforcing local or global maximum principles in high-order space-time discretizations of a scalar hyperbolic conservation law. We begin with sufficient conditions for a space discretization to be bound preserving… read more here.
Keywords: time; order; bound preserving; hyperbolic conservation ... See more keywords
Bound-preserving inexact Newton algorithms on parallel computers for wormhole propagation in porous media
Sign Up to like & getrecommendations! Published in 2021 at "Computers and Geotechnics"
DOI: 10.1016/j.compgeo.2021.104340
Abstract: Abstract Simulating wormhole propagation during reactive dissolution of carbonates is often significantly challenging, because of the high nonlinearity of the governing equations with complex fluid physics. High resolution grids are often required to represent the… read more here.
Keywords: wormhole propagation; parallel computers; preserving inexact; bound preserving ... See more keywords
A discontinuous Galerkin method with a bound preserving limiter for the advection of non-diffusive fields in solid Earth geodynamics
Sign Up to like & getrecommendations! Published in 2017 at "Physics of the Earth and Planetary Interiors"
DOI: 10.1016/j.pepi.2016.12.001
Abstract: Abstract Mineral composition has a strong effect on the properties of rocks and is an essentially non-diffusive property in the context of large-scale mantle convection. Due to the non-diffusive nature and the origin of compositionally… read more here.
Keywords: non diffusive; method bound; bound preserving; discontinuous galerkin ... See more keywords