Found 226 Documents (Results 1–100)
Decay results of weak solutions to the non-stationary fractional Navier-Stokes equations. (English) Zbl 07898750
A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects. (English) Zbl 07842846
Efficient and effective algebraic splitting-based solvers for nonlinear saddle point problems. (English) Zbl 1536.76071
An efficient dimension splitting p-adaptive method for the binary fluid surfactant phase field model. (English) Zbl 1538.65286
Convection linearization of energy conservative implicit method for incompressible turbulence simulations. (English) Zbl 07649286
Long-time decay of Leray solution of 3D-NSE with exponential damping. (English) Zbl 1517.76017
Reviewer: Shangkun Weng (Pohang)
Large time behavior of solutions to the 3D micropolar equations with nonlinear damping. (English) Zbl 1482.35158
Stabilized variational formulation of an Oldroyd-B fluid flow equations on a graphic processing unit (GPU) architecture. (English) Zbl 1527.76029
Asymptotic behavior for the damped Boussinesq. (Chinese. English summary) Zbl 1513.35446
A high order operator splitting method based on spectral deferred correction for the nonlocal viscous Cahn-Hilliard equation. (English) Zbl 07516455
The splitting algorithm in finite volume method for numerical solving of Navier-Stokes equations of viscous incompressible fluids. (English) Zbl 1535.76069
Accuracy of bicompact schemes in the problem of Taylor-Green vortex decay. (English. Russian original) Zbl 1501.76055
Comput. Math. Math. Phys. 61, No. 11, 1723-1742 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 11, 1759-1778 (2021).
A low-rank approach for nonlinear parameter-dependent fluid-structure interaction problems. (English) Zbl 1478.74024
Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 1157-1165 (2021).
The effect of surface pattern property on the advancing motion of three-dimensional droplets. (English) Zbl 1468.76074
An unconditionally stable scheme for the Allen-Cahn equation with high-order polynomial free energy. (English) Zbl 1459.65147
Normal mode analysis of 3D incompressible viscous fluid flow models. (English) Zbl 1455.65143
Reviewer: Bülent Karasözen (Ankara)
A variationally separable splitting for the generalized-\(\alpha\) method for parabolic equations. (English) Zbl 07843225
Mathematical modeling of spot dynamics in a stratified medium. (English. Russian original) Zbl 1452.76064
Comput. Math. Math. Phys. 60, No. 5, 879-894 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 900-916 (2020).
High order numerical simulations for the binary fluid-surfactant system using the discontinuous Galerkin and spectral deferred correction methods. (English) Zbl 1435.65158
Error analysis of a time-splitting method for incompressible flows with variable density. (English) Zbl 1448.76056
Analysis of algebraic Chorin temam splitting for incompressible NSE and comparison to Yosida methods. (English) Zbl 1524.76139
Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term. (English) Zbl 1430.35201
Chorin’s approaches revisited: vortex particle method vs finite volume method. (English) Zbl 1464.76137
Simulating flows of viscous incompressible fluid on graphics processors using the splitting scheme and multigrid method. (English. Russian original) Zbl 1422.65245
Comput. Math. Math. Phys. 59, No. 1, 136-149 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 1, 143-157 (2019).
Two decades of wave-like equation for the numerical simulation of incompressible viscous flow: a review. (English) Zbl 1416.35005
Chetverushkin, B. N. (ed.) et al., Contributions to partial differential equations and applications. Invited papers of the conferences ‘Contributions to partial differential equations’, Université Pierre et Marie Curie, Paris, France, August 31 – September 1, 2015 and ‘Applied and computational mathematics’, University of Houston, Texas, USA, February 26–27, 2016. Cham: Springer. Comput. Methods Appl. Sci. 47, 221-250 (2019).
A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations. (English) Zbl 1407.65097
A dimension splitting and characteristic projection method for three-dimensional incompressible flow. (English) Zbl 1404.76072
Decay rates of higher-order norms of solutions to the Navier-Stokes-Landau-Lifshitz system. (English) Zbl 1402.35230
A semi-Lagrangian splitting method for the numerical simulation of sediment transport with free surface flows. (English) Zbl 1410.76157
Reduced-order semi-implicit schemes for fluid-structure interaction problems. (English) Zbl 1464.76054
Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer. MS&A, Model. Simul. Appl. 17, 149-167 (2017).
A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow. (English) Zbl 1380.76040
Incompressible material point method for free surface flow. (English) Zbl 1378.76088
MSC:
76M25
76D45
On the stability of projection methods for the incompressible Navier-Stokes equations based on high-order discontinuous Galerkin discretizations. (English) Zbl 1380.65204
Existence of weak solutions in Wasserstein space for a chemotaxis model coupled to fluid equations. (English) Zbl 1377.35147
\(L^2\)-asymptotic stability of singular solutions to the Navier-Stokes system of equations in \(\mathbb R^3\). (English. French summary) Zbl 1368.35207
Reviewer: Piotr Biler (Wrocław)
Long time behavior for a dissipative shallow water model. (English. French summary) Zbl 1383.35174
An adaptive, residual based, splitting approach for the penalized Navier Stokes equations. (English) Zbl 1423.76267
Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations. (English) Zbl 1422.65280
Comparison of decay of solutions to two compressible approximations to Navier-Stokes equations. (English) Zbl 1360.35187
Decay estimates with sharp rates of global solutions of nonlinear systems of fluid dynamics equations. (English) Zbl 1356.35164
Decay rate of solutions to 3D Navier-Stokes-Voigt equations in \(H^m\) spaces. (English) Zbl 1348.35180
A note on “A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations”. (English) Zbl 1382.65079
A factorization method for numerical solution of the Navier-Stokes equations for a viscous incompressible liquid. (Russian, English) Zbl 1349.76490
Sib. Zh. Ind. Mat. 19, No. 2, 61-73 (2016); translation in J. Appl. Ind. Math. 10, No. 2, 232-242 (2016).
A finite element dimensional splitting method for 3D rotating Navier-Stokes equations. (Chinese. English summary) Zbl 1488.65434
A scalable consistent second-order SPH solver for unsteady low Reynolds number flows. (English) Zbl 1423.76372
An approximate Riemann solver for shallow water equations and heat advection in horizontal centrifugal casting. (English) Zbl 1410.76036
Predictor-corrector difference scheme for numerical solution of the Euler and Navier-Stokes equations. (Russian, English) Zbl 1349.76489
Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 15, No. 2, 22-37 (2015); translation in J. Math. Sci., New York 215, No. 4, 484-498 (2016).
A projection method for the monolithic interaction system of an incompressible fluid and a structure using a new algebraic splitting. (English) Zbl 1356.74203
An embedded boundary method for soluble surfactants with interface tracking for two-phase flows. (English) Zbl 1349.76059
Mathematical and numerical analysis of some FSI problems. (English) Zbl 1365.74066
Bodnár, Tomáš (ed.) et al., Fluid-structure interaction and biomedical applications. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0821-7/hbk; 978-3-0348-0822-4/ebook). Advances in Mathematical Fluid Mechanics, 1-77 (2014).
Accuracy improvement of a multistep splitting method for nonlinear viscous wave equations. (English) Zbl 1323.65094
Reviewer: Petr Sváček (Praha)
On the error estimates of a new operator splitting method for the Navier-Stokes equations. (English) Zbl 1313.76025
Three-dimensional simulation the runup of nonlinear surface gravity waves on shallow coast. (English) Zbl 1302.76065
An unstructured finite volume method for large-scale shallow flows using the fourth-order Adams scheme. (English) Zbl 1390.86004
Coupled Navier-Stokes molecular dynamics simulation: theory and applications based on iterative operator-splitting methods. (English) Zbl 1284.76092
Mathematical modeling the runup of nonlinear surface gravity waves. (English) Zbl 1262.76031
MSC:
76D33
Numerical continuum mechanics. (English) Zbl 1318.76001
de Gruyter Studies in Mathematical Physics 15. Berlin: de Gruyter (ISBN 978-3-11-027322-9/hbk; 978-3-11-027338-0/ebook). xviii, 429 p. (2013).
Reviewer: Georg Hebermehl (Berlin)
Numerical simulation of two-phase flow with interface tracking by adaptive Eulerian grid subdivision. (English) Zbl 1255.76088
A fast vector penalty-projection method for incompressible non-homogeneous or multiphase Navier-Stokes problems. (English) Zbl 1426.76518
Numerical approximation of an optimization problem to reduce leakage in water distribution systems. (English) Zbl 1426.76146
An adaptive finite element splitting method for the incompressible Navier-Stokes equations. (English) Zbl 1243.76021
Asymptotic behavior of strong solutions to the 3D Navier-Stokes equations with a nonlinear damping term. (English) Zbl 1391.76093
Spectral direction splitting schemes for the incompressible Navier-Stokes equations. (English) Zbl 1302.76135
A fast and efficient iterative scheme for viscoelastic flow simulations with the DEVSS finite element method. (English) Zbl 1282.76121
Supercomputer simulation of viscous noncompressible flow past bodies of complex shape. (English. Russian original) Zbl 1388.76004
Comput. Math. Model. 22, No. 1, 15-29 (2011); translation from Prikl. Mat. Inf. 34, 21-34 (2010).
A spectacular vector penalty-projection method for Darcy and Navier-Stokes problems. (English) Zbl 1246.65170
Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 39-47 (2011).
A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations. (English) Zbl 1419.76433
A high order Discontinuous Galerkin Finite Element solver for the incompressible Navier-Stokes equations. (English) Zbl 1431.76011
Upper bounds of the rates of decay for solutions of the Boussinesq equations. (English) Zbl 1209.35119
Numerical implementations of an iterative method with boundary condition splitting as applied to the nonstationary Stokes problem in the gap between coaxial cylinders. (Russian, English) Zbl 1224.35326
Zh. Vychisl. Mat. Mat. Fiz. 50, No. 11, 1998-2016 (2010); translation in Comput. Math., Math. Phys. 50, No. 11, 1895-1913 (2010).
Operator splitting methods for the Navier-Stokes equations with nonlinear slip boundary conditions. (English) Zbl 1407.76069
Stable and accurate pressure approximation for unsteady incompressible viscous flow. (English) Zbl 1307.76029
Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations. (English) Zbl 1352.76084
A third-order upwind compact scheme on curvilinear meshes for the incompressible Navier-Stokes equations. (English) Zbl 1364.76138
On splitting-based numerical methods for convection-diffusion equations. (English) Zbl 1266.65143
Puppo, Gabriella (ed.) et al., Numerical methods for balance laws. Caserta: Dipartimento di Matematica, Seconda Università di Napoli (ISBN 978-88-548-3360-9/hbk). Quaderni di Matematica 24, 303-343 (2009).
The method of fundamental solutions for solving incompressible Navier-Stokes problems. (English) Zbl 1244.76104
Numerical simulation of a hydraulic Saint-Venant type model with pressure-dependent leakage. (English) Zbl 1269.76029
MSC:
76D05
76M25
Existence and stability of steady-state solutions with finite energy for the Navier-Stokes equation in the whole space. (English) Zbl 1172.35463
Dimension splitting method for 3D rotating compressible Navier-Stokes equations in the turbomachinery. (English) Zbl 1158.76316
MSC:
76D05
76M25
Fictitious versus nonfictitious formulation of backward step flow. (English) Zbl 1169.76038
Reviewer: Titus Petrila (Cluj-Napoca)
Operator splitting methods for solution of incompressible viscous flows in a rotating frame. (Chinese. English summary) Zbl 1150.76394
MSC:
76D99
Error estimates for finite element approximations of consistent splitting schemes for incompressible flows. (English) Zbl 1220.76046
Reviewer: Messoud A. Efendiev (Berlin)
Numerical simulation of a multi-store separation phenomenon: a fictitious domain approach. (English) Zbl 1121.76034
3D dictinctive features of confined flow behavior near cubic fairing. (Russian. English summary) Zbl 1130.76027
Reviewer: Sergei Georgievich Zhuravlev (Moskva)
Mathematical modeling of three-dimensional incompresssible fluid flows. (Russian. English summary) Zbl 1121.76043
Reviewer: Sergei Georgievich Zhuravlev (Moskva)
A consistent splitting scheme for unsteady incompressible viscous flows. I: Dirichlet boundary condition and applications. (English) Zbl 1276.76044
Modified interpolation kernels for treating diffusion and remeshing in vortex methods. (English) Zbl 1088.76050
A discrete splitting finite element method for numerical simulations of incompressible Navier-Stokes flows. (English) Zbl 1181.76100
A dynamical multi-level scheme for the Burgers equation: Wavelet and hierarchical finite element. (English) Zbl 1087.76063
Nonclassical solutions of the classical problem of viscous incompressible flow in a plane channel. (English. Russian original) Zbl 1088.76040
Comput. Math. Model. 16, No. 3, 199-213 (2005); translation from Prikl. Mat. Inf. 17, 13-30 (2004).
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