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A multimesh finite element method for the Navier–Stokes equations based on projection methods
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Novel fractional time-stepping algorithms for natural convection problems with variable density
Victor DeCaria, Traian Iliescu, William Layton, Michael McLaughlin and Michael Schneier SIAM Journal on Numerical Analysis 58(1) 565 (2020) https://doi.org/10.1137/19M1246444
An efficient time-splitting approximation of the Navier–Stokes equations with LPS modeling
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Caterina Calgaro, Claire Colin and Emmanuel Creusé International Journal for Numerical Methods in Fluids 90(1) 1 (2019) https://doi.org/10.1002/fld.4706
Algebraic splitting methods for the steady incompressible Navier–Stokes equations at moderate Reynolds numbers
A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier–Stokes equations
Alexander Linke, Michael Neilan, Leo G. Rebholz and Nicholas E. Wilson Journal of Numerical Mathematics 25(4) (2017) https://doi.org/10.1515/jnma-2016-1024
Finite Element Methods for Incompressible Flow Problems
Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012
F. Auteri and L. Quartapelle Lecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 95 99 (2014) https://doi.org/10.1007/978-3-319-01601-6_7
Mathematical and Numerical Foundations of Turbulence Models and Applications
Tomás Chacón Rebollo and Roger Lewandowski Modeling and Simulation in Science, Engineering and Technology, Mathematical and Numerical Foundations of Turbulence Models and Applications 355 (2014) https://doi.org/10.1007/978-1-4939-0455-6_10
An adaptive pressure correction method without spurious velocities for diffuse-interface models of incompressible flows
An L2‐stable approximation of the Navier–Stokes convection operator for low‐order non‐conforming finite elements
G. Ansanay‐Alex, F. Babik, J. C. Latché and D. Vola International Journal for Numerical Methods in Fluids 66(5) 555 (2011) https://doi.org/10.1002/fld.2270
Three-dimensional, fully adaptive simulations of phase-field fluid models
Special Volume: Mathematical Modeling and Numerical Methods in Finance
Olivier Pironneau and Yves Achdou Handbook of Numerical Analysis, Special Volume: Mathematical Modeling and Numerical Methods in Finance 15 369 (2009) https://doi.org/10.1016/S1570-8659(08)00011-2
Error analysis of fully discrete velocity-correction methods for incompressible flows
Calculation of impulsively started incompressible viscous flows
A. Marra, A. Mola, L. Quartapelle and L. Riviello International Journal for Numerical Methods in Fluids 46(8) 877 (2004) https://doi.org/10.1002/fld.743
On the application of the Helmholtz–Hodge decomposition in projection methods for incompressible flows with general boundary conditions
Analysis of the local truncation error in the pressure‐free projection method for incompressible flows: a new accurate expression of the intermediate boundary conditions
P. Iannelli and F. M. Denaro International Journal for Numerical Methods in Fluids 42(4) 399 (2003) https://doi.org/10.1002/fld.520
On the error estimates for the rotational pressure-correction projection methods