A divergence‐free semi‐implicit finite volume scheme for ideal, viscous, and resistive magnetohydrodynamics
Sign Up to like & getrecommendations! Published in 2019 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4681
Abstract: Summary In this paper, we present a novel pressure‐based semi‐implicit finite volume solver for the equations of compressible ideal, viscous, and resistive magnetohydrodynamics (MHD). The new method is conservative for mass, momentum, and total energy,… read more here.
Keywords: finite volume; method; magnetohydrodynamics; semi implicit ... See more keywords
Semi‐implicit Lagrangian Voronoi approximation for the incompressible Navier–Stokes equations
Sign Up to like & getrecommendations! Published in 2024 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.5339
Abstract: We introduce semi‐implicit Lagrangian Voronoi approximation (SILVA), a novel numerical method for the solution of the incompressible Euler and Navier–Stokes equations, which combines the efficiency of semi‐implicit time marching schemes with the robustness of time‐dependent… read more here.
Keywords: lagrangian voronoi; navier stokes; voronoi; implicit lagrangian ... See more keywords
A Semi‐Implicit Numerical Method for Simultaneous Fluid‐Structure Interaction
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DOI: 10.1002/fld.70019
Abstract: A one‐dimensional shallow water model is coupled with a floating boat which is assumed to be in hydrostatic equilibrium with the underlying water. Numerically, a semi‐implicit discretization of the shallow water equations also includes the… read more here.
Keywords: fluid structure; semi implicit; implicit numerical; simultaneous fluid ... See more keywords
A mixed finite‐element, finite‐volume, semi‐implicit discretization for atmospheric dynamics: Cartesian geometry
Sign Up to like & getrecommendations! Published in 2019 at "Quarterly Journal of the Royal Meteorological Society"
DOI: 10.1002/qj.3501
Abstract: To meet the challenges posed by future generations of massively parallel supercomputers, a reformulation of the dynamical core for the Met Office's weather and climate model is presented. This new dynamical core uses explicit finite‐volume… read more here.
Keywords: finite element; finite volume; geometry; model ... See more keywords
A novel semi-implicit scheme for elastodynamics and wave propagation in nearly and truly incompressible solids
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DOI: 10.1007/s00707-020-02883-5
Abstract: This paper presents a novel semi-implicit scheme for elastodynamics and wave propagation problems in nearly and truly incompressible material models. The proposed methodology is based on the efficient computation of the Schur complement for the… read more here.
Keywords: semi implicit; scheme; nearly truly; wave propagation ... See more keywords
Semi-implicit Milstein approximation scheme for non-colliding particle systems
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DOI: 10.1007/s10092-019-0319-2
Abstract: We introduce a semi-implicit Milstein approximation scheme for some class of non-colliding particle systems modeled by systems of stochastic differential equations with non-constant diffusion coefficients. We show that the scheme converges at the rate of… read more here.
Keywords: non colliding; milstein approximation; colliding particle; implicit milstein ... See more keywords
Stable Semi-implicit SDC Methods for Conservation Laws
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DOI: 10.1007/s10915-025-02857-6
Abstract: Semi-implicit spectral deferred correction (SDC) methods provide a systematic approach to construct time integration methods of arbitrarily high order for nonlinear evolution equations including conservation laws. They converge towards A- or even L-stable collocation methods,… read more here.
Keywords: implicit sdc; semi implicit; conservation laws; sdc methods ... See more keywords
A Third-Order Finite Volume Semi-Implicit Method for the Shallow Water-Exner Model
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DOI: 10.1007/s10915-025-03093-8
Abstract: In this work, third-order semi-implicit schemes on staggered meshes for the shallow water and Saint-Venant-Exner systems are presented. They are based on a third-order extension of the technique introduced in Casulli & Cheng [15]. The… read more here.
Keywords: shallow water; third order; exner; semi implicit ... See more keywords
Stability and convergence analysis of a semi-implicit fractional FEM-scheme for non-Newtonian fluid flows of polymer aqueous solutions with fractional time-derivative
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DOI: 10.1007/s40314-020-1110-3
Abstract: In this paper, a fully discrete fractional semi-implicit FEM-scheme is developed to study the non-Newtonian fluid flow of polymer aqueous solutions in a two-dimensional domain using Caputo’s fractional time-derivative. The fractional-time scheme is coupled with… read more here.
Keywords: scheme; fractional time; non newtonian; semi implicit ... See more keywords
Decoupled, semi-implicit scheme for a coupled system arising in magnetohydrodynamics problem
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DOI: 10.1016/j.apnum.2018.01.005
Abstract: Abstract In this paper, we focus on a decoupled, linearized semi-implicit Galerkin FEM scheme for a MHD system coupled by the time-dependent Navier–Stokes equation with the steady Maxwell's equations in three-dimensional convex domain. First, additional… read more here.
Keywords: system; implicit scheme; scheme; magnetohydrodynamics ... See more keywords
Semi-implicit direct forcing immersed boundary method for incompressible viscous thermal flow problems: A Schur complement approach
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Heat and Mass Transfer"
DOI: 10.1016/j.ijheatmasstransfer.2018.06.099
Abstract: An extended immersed boundary method utilizing a semi-implicit direct forcing approach for the simulation of confined incompressible viscous thermal flow problems is presented. The method utilizes a Schur complement approach to enforce the kinematic constraints… read more here.
Keywords: boundary method; method; approach; semi implicit ... See more keywords