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A fast pressure-correction method for incompressible two-fluid flows

Journal of computational physics, 2014-09, Vol.273, p.416-434

2014

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Quantifying and reducing model-form uncertainties in Reynolds-averaged Navier–Stokes simulations: A data-driven, physics-informed Bayesian approach

Journal of computational physics, 2016-11, Vol.324, p.115-136

2016

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High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows

Computer methods in applied mechanics and engineering, 2016-08, Vol.307, p.339-361

2016

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Efficient quantum algorithm for dissipative nonlinear differential equations

Proceedings of the National Academy of Sciences - PNAS, 2021-08, Vol.118 (35), p.1

2021

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A staggered space–time discontinuous Galerkin method for the three-dimensional incompressible Navier–Stokes equations on unstructured tetrahedral meshes

Journal of computational physics, 2016-08, Vol.319, p.294-323

2016

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An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier–Stokes equations

Journal of computational physics, 2011-02, Vol.230 (4), p.1147-1170

2011

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Mathematical tools for the study of the incompressible Navier-Stokes equations and related models

2013

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A reconstructed discontinuous Galerkin method for the compressible Navier–Stokes equations on arbitrary grids

Journal of computational physics, 2010-09, Vol.229 (19), p.6961-6978

2010

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Ocean forecasting in terrain-following coordinates: Formulation and skill assessment of the Regional Ocean Modeling System

Journal of computational physics, 2008-03, Vol.227 (7), p.3595-3624

2008

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Ill-posedness of the Navier–Stokes equations in a critical space in 3D

Journal of functional analysis, 2008-11, Vol.255 (9), p.2233-2247

2008

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A pressure-based semi-implicit space–time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier–Stokes equations at all Mach numbers

Journal of computational physics, 2017-07, Vol.341, p.341-376

2017

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Viscosity independent numerical errors for Lattice Boltzmann models: From recurrence equations to “magic” collision numbers

Computers & mathematics with applications (1987), 2009-09, Vol.58 (5), p.823-840

2009

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An accurate adaptive solver for surface-tension-driven interfacial flows

Journal of computational physics, 2009-09, Vol.228 (16), p.5838-5866

Popinet, Stéphane

2009

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Fourier Analysis and Nonlinear Partial Differential Equations

1. Aufl., 2011

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Roughness decomposition and nonlinear fluid flow in a single rock fracture

International journal of rock mechanics and mining sciences (Oxford, England : 1997), 2015-04, Vol.75, p.102-118

2015

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Existence of a martingale solution of the stochastic Navier–Stokes equations in unbounded 2D and 3D domains

Journal of Differential Equations, 2013-02, Vol.254 (4), p.1627-1685

2013

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Analysis of the parareal approach based on discontinuous Galerkin method for time‐dependent Stokes equations

Numerical methods for partial differential equations, 2023-01, Vol.39 (1), p.6-29

2023

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Shear-enhanced nonlinear flow in rough-walled rock fractures

International journal of rock mechanics and mining sciences (Oxford, England : 1997), 2017-09, Vol.97, p.33-45

2017

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An accurate SPH modeling of viscous flows around bodies at low and moderate Reynolds numbers

Journal of computational physics, 2013-07, Vol.245, p.456-475

2013

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Investigations on the porous resistance coefficients for fishing net structures

Journal of fluids and structures, 2016-08, Vol.65, p.76-107

2016

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A numerical study of three-dimensional liquid sloshing in tanks

Journal of computational physics, 2008-04, Vol.227 (8), p.3921-3939

2008

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Optimal decay rate for strong solutions in critical spaces to the compressible Navier–Stokes equations

Journal of Differential Equations, 2014-11, Vol.257 (10), p.3850-3867

Okita, Masatoshi

2014

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Energy equalities for compressible Navier-Stokes equations

Nonlinearity, 2019-11, Vol.32 (11), p.4206-4231

2019

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On the Liouville theorem for the stationary Navier–Stokes equations in a critical space

Journal of mathematical analysis and applications, 2013-09, Vol.405 (2), p.706-710

2013

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An overview of projection methods for incompressible flows

Computer methods in applied mechanics and engineering, 2006-09, Vol.195 (44), p.6011-6045

2006

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A fast pressure-correction method for incompressible two-fluid flows

Quantifying and reducing model-form uncertainties in Reynolds-averaged Navier–Stokes simulations: A data-driven, physics-informed Bayesian approach

High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows

Efficient quantum algorithm for dissipative nonlinear differential equations

A staggered space–time discontinuous Galerkin method for the three-dimensional incompressible Navier–Stokes equations on unstructured tetrahedral meshes

An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier–Stokes equations

Mathematical tools for the study of the incompressible Navier-Stokes equations and related models

A reconstructed discontinuous Galerkin method for the compressible Navier–Stokes equations on arbitrary grids

Ocean forecasting in terrain-following coordinates: Formulation and skill assessment of the Regional Ocean Modeling System

Ill-posedness of the Navier–Stokes equations in a critical space in 3D

A pressure-based semi-implicit space–time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier–Stokes equations at all Mach numbers

Viscosity independent numerical errors for Lattice Boltzmann models: From recurrence equations to “magic” collision numbers

An accurate adaptive solver for surface-tension-driven interfacial flows

Fourier Analysis and Nonlinear Partial Differential Equations

Roughness decomposition and nonlinear fluid flow in a single rock fracture

Existence of a martingale solution of the stochastic Navier–Stokes equations in unbounded 2D and 3D domains

Analysis of the parareal approach based on discontinuous Galerkin method for time‐dependent Stokes equations

Shear-enhanced nonlinear flow in rough-walled rock fractures

An accurate SPH modeling of viscous flows around bodies at low and moderate Reynolds numbers

Investigations on the porous resistance coefficients for fishing net structures

A numerical study of three-dimensional liquid sloshing in tanks

Optimal decay rate for strong solutions in critical spaces to the compressible Navier–Stokes equations

Energy equalities for compressible Navier-Stokes equations

On the Liouville theorem for the stationary Navier–Stokes equations in a critical space

An overview of projection methods for incompressible flows

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