A new class of truly consistent splitting schemes for incompressible flows

By Jean-Luc Guermond, Jie Shen. 2003

205 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/7542fd378f2a05900a8a240522bad2b5f6f51ffb

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In Computational Mechanics

Citations in the corpus

Spectral and High-Order Methods with Applications (2006, methodology): “19) Ample numerical results presented in [68] indicate that this scheme provides truly second-order accurate approximation for both the velocity and the pressure.”
An augmented approach for Stokes equations with a discontinuous viscosity and singular forces (2007, methodology): “In [7,13], the correct boundary conditions for the pressure has been derived.”
Stability and convergence of efficient Navier‐Stokes solvers via a commutator estimate (2007, methodology): “The discretization scheme above is a prototype for a class of highly efficient numerical methods for incompressible flow obtained using different kinds of spatial discretization and higher-order time differencing [21, 22, 23, 30, 39].”
Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term (2004, methodology): “We note that in [16] a related Galerkin formulation was proposed which can be implemented using C elements after a projection of the discontinuous function r uh for the pressure variable update in their scheme.”
An overview of projection methods for incompressible flows (2006, methodology): “See Guermond and Shen [24].”
Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book (2012, methodology): “The consistent splitting scheme, as described in Guermond et al. (2006); Guermond and Shen (2003), is derived differently from the other splitting schemes and requires a more detailed description.”