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math.NA2024
A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations
Daniele A. Di Pietro, Jerome Droniou, Jia Jia Qian
In this work we design and analyse a Discrete de Rham (DDR) method for the incompressible Navier-Stokes equations. Our focus is, more specifically, on the SDDR variant, where a red…
math.NA2013
The generalized Riemann problems for hyperbolic balance laws: A unified formulation towards high order
Jianzhen Qian, Jiequan Li, Shuanghu Wang
The Generalized Riemann Problems (GRP) for nonlinear hyperbolic systems of balance laws in one space dimension are now well-known and can be formulated as follows: Given initial-da…