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Small Collaboration: Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations

Oberwolfach Reports, 2022
Nonlinear hyperbolic partial differential equations constitute a plethora of models from physics, biology, engineering, etc. In this workshop we cover the range from modeling, mathematical questions of well-posedness, numerical discretization and ...
C. Klingenberg, Qin Li, M. Pirner
semanticscholar   +1 more source

A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

Communications in Computational Physics, 2021
In this paper, we investigate the ideal magnetohydrodynamic (MHD) equations with random inputs based on generalized polynomial chaos (gPC) stochastic Galerkin approximation.
Kailiang Wu
semanticscholar   +1 more source

Monolithic Multigrid for Reduced Magnetohydrodynamic Equations

Journal of Computational Mathematics, 2021
In this paper, the monolithic multigrid method is investigated for reduced magnetohydrodynamic equations. We propose a diagonal Braess-Sarazin smoother for the finite element discrete system and prove the uniform convergence of the MMG method with ...
Xiao Zheng
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Order Reduced Methods for Quad-Curl Equations with Navier Type Boundary Conditions

Journal of Computational Mathematics, 2020
Quad-curl equations with Navier type boundary conditions are studied in this paper. Stable order reduced formulations equivalent to the model problems are presented, and finite element discretizations are designed.
Weifeng Zhang Shuo Zhang sci
semanticscholar   +1 more source

A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations

, 2020
In this paper, we present a rigorous error analysis of a new higher order fractional-step scheme for approximation of the time-dependent Navier-Stokes equations. The main feature of the proposed scheme is twofold.
R. An
semanticscholar   +1 more source

Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates

Communications in Computational Physics, 2019
In this paper, we propose a class of high order locally divergence-free spectral-discontinuous Galerkin (DG) methods for three dimensional (3D) ideal magnetohydrodynamic (MHD) equations on cylindrical geometry.
Yong Liu
semanticscholar   +1 more source

An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

, 2015
A numerical scheme basedon the immersed interfacemethod (IIM) is devel- oped to simulate the dynamics of an axisymmetric viscous drop under an electric field.
H. Nganguia   +4 more
semanticscholar   +1 more source

Mixed convection stagnation point flow and heat transfer of Cu‐water nanofluids towards a shrinking sheet

, 2013
This work is focused on numerical simulations of mixed convection stagnation point flow and heat transfer of Cu-water nanofluids impinging normally towards a shrinking sheet.
K. Das
semanticscholar   +1 more source

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