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math.NA2021★ 5 cited
Some continuous and discontinuous Galerkin methods and structure preservation for incompressible flows
Xi Chen, Yuwen Li, Corina Drapaca +1
In this paper, we present consistent and inconsistent discontinuous Galerkin methods for incompressible Euler and Navier-Stokes equations with the kinematic pressure, Bernoulli fun…
math.NA2020
A unified framework of continuous and discontinuous Galerkin methods for solving the incompressible Navier--Stokes equation
Xi Chen, Yuwen Li, Corina Drapaca +1
In this paper, we propose a unified numerical framework for the time-dependent incompressible Navier--Stokes equation which yields the -, -conforming, and disco…
math.NA2020★ 2 cited
Versatile Mixed Methods for the Incompressible Navier-Stokes Equations
Xi Chen, David M. Williams
In the spirit of the "Principle of Equipresence" introduced by Truesdell & Toupin, The Classical Field Theories (1960), we use the full version of the viscous stress tensor which w…