A high‐order compact scheme for solving the 2D steady incompressible Navier‐Stokes equations in general curvilinear coordinates
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DOI: 10.1002/fld.4791
Abstract: In this paper, a high‐order compact finite difference algorithm is established for the stream function‐velocity formulation of the two‐dimensional steady incompressible Navier‐Stokes equations in general curvilinear coordinates. Different from the previous work, not only the… read more here.
Keywords: order compact; steady incompressible; order; navier stokes ... See more keywords
A high‐order stabilized solver for the volume averaged Navier‐Stokes equations
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DOI: 10.1002/fld.5182
Abstract: The volume‐averaged Navier‐Stokes equations are used to study fluid flow in the presence of fixed or moving solids such as packed or fluidized beds. We develop a high‐order finite element solver using both forms A… read more here.
Keywords: solver; volume averaged; averaged navier; order ... See more keywords
Approximate inner solvers for block preconditioning of the incompressible Navier–Stokes problems discretized by isogeometric analysis
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DOI: 10.1002/fld.5280
Abstract: We deal with efficient numerical solution of the steady incompressible Navier–Stokes equations (NSE) using our in‐house solver based on the isogeometric analysis (IgA) approach. We are interested in the solution of the arising saddle‐point linear… read more here.
Keywords: inner solvers; isogeometric analysis; navier stokes; approximate inner ... See more keywords
Semi‐implicit Lagrangian Voronoi approximation for the incompressible Navier–Stokes equations
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DOI: 10.1002/fld.5339
Abstract: We introduce semi‐implicit Lagrangian Voronoi approximation (SILVA), a novel numerical method for the solution of the incompressible Euler and Navier–Stokes equations, which combines the efficiency of semi‐implicit time marching schemes with the robustness of time‐dependent… read more here.
Keywords: lagrangian voronoi; navier stokes; voronoi; implicit lagrangian ... See more keywords
A High‐Order Hybrid‐Spectral Incompressible Navier–Stokes Model for Non‐Linear Water Waves
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DOI: 10.1002/fld.5387
Abstract: We present a new high‐order accurate computational fluid dynamics model based on the incompressible Navier–Stokes equations with a free surface for the accurate simulation of non‐linear and dispersive water waves in the time domain. The… read more here.
Keywords: non linear; navier stokes; incompressible navier; high order ... See more keywords
Convergence of approximating solutions of the Navier–Stokes equations in higher ordered Sobolev norms
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DOI: 10.1002/mana.12009
Abstract: We show that the approximating solutions {uj}j=0∞$\lbrace u_j\rbrace _{j=0}^{\infty }$ of the Navier–Stokes equations constructed by Kato with the initial data u(0)∈Lσn(Rn)$u(0) \in L_{\sigma }^{n}(\mathbb {R}^{n})$ converge to the local strong solution u$u$ in the… read more here.
Keywords: approximating solutions; mathbb; navier stokes; convergence approximating ... See more keywords
Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D
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DOI: 10.1002/mana.201700050
Abstract: We consider Navier-Stokes equations for compressible viscous fluids in one dimension. We prove the existence of global strong solution with large initial data for the shallow water system. The key ingredient of the proof relies… read more here.
Keywords: existence global; strong solution; global strong; stokes equations ... See more keywords
The D incompressible Navier–Stokes equations with partial hyperdissipation
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DOI: 10.1002/mana.201700176
Abstract: Funding information NSFC, Grant/Award Numbers: 11601011, 11671273, 11231006; NSF, Grant/Award Number: 1614246 Abstract The three-dimensional incompressible Navier–Stokes equations with the hyperdissipation (−Δ)γ always possess global smooth solutions when γ ≥ 4 . Tao [6] and… read more here.
Keywords: stokes equations; equations partial; incompressible navier; partial hyperdissipation ... See more keywords
Global existence versus blow‐up results for one dimensional compressible Navier–Stokes equations with Maxwell's law
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DOI: 10.1002/mana.201700418
Abstract: We consider one dimensional isentropic compressible Navier–Stokes equations with constitutive relation of Maxwell's law instead of Newtonion law. For this new model, we show that for small initial data, a unique smooth solution exists globally… read more here.
Keywords: compressible navier; stokes equations; one dimensional; maxwell law ... See more keywords
Wong–Zakai approximation for a stochastic 2D Cahn–Hilliard–Navier–Stokes model
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DOI: 10.1002/mana.202400065
Abstract: In this paper, we demonstrate the Wong–Zakai approximation results for two dimensional stochastic Cahn–Hilliard–Navier–Stokes model. The model consists of a Navier–Stokes system coupled with convective Cahn–Hilliard equations. It describes the motion of an incompressible isothermal… read more here.
Keywords: wong zakai; approximation; navier stokes; cahn hilliard ... See more keywords
Spatially Periodic Solutions for Evolution Anisotropic Variable‐Coefficient Navier–Stokes Equations: II. Serrin‐Type Solutions
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DOI: 10.1002/mma.10921
Abstract: We consider evolution (nonstationary) space‐periodic solutions to the n$$ n $$ ‐dimensional nonlinear Navier–Stokes equations of anisotropic fluids with the viscosity coefficient tensor variable in space and time and satisfying the relaxed ellipticity condition. Employing… read more here.
Keywords: type solutions; navier stokes; stokes equations; periodic solutions ... See more keywords