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Results 11 - 20
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4,283
On the search for singularities in incompressible flows
- Appl. Math
"... Abstract. In these notes we give some examples of the interaction of mathematics with experiments and numerical simulations on the search for singularities. ..."
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Cited by 1 (0 self)
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Abstract. In these notes we give some examples of the interaction of mathematics with experiments and numerical simulations on the search for singularities.
INVESTIGATING INCOMPRESSIBLE FLOW PROBLEMS
, 2012
"... Reports available from: And by contacting: ..."
MIXING AND UN-MIXING BY INCOMPRESSIBLE FLOWS
"... Abstract. We consider the questions of efficient mixing and un-mixing by incompressible flows which satisfy periodic, no-flow, or no-slip boundary conditions on a square. Under the uniform-in-time constraint ‖∇u(·, t)‖p ≤ 1 we show that any function can be mixed to scale ε in time O( | log ε|1+νp), ..."
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Cited by 2 (0 self)
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Abstract. We consider the questions of efficient mixing and un-mixing by incompressible flows which satisfy periodic, no-flow, or no-slip boundary conditions on a square. Under the uniform-in-time constraint ‖∇u(·, t)‖p ≤ 1 we show that any function can be mixed to scale ε in time O( | log ε|1+νp
Gauge method for viscous incompressible flows
- Commun. Math. Sci
, 2003
"... Abstract. We present a new formulation of the incompressible Navier-Stokes equation in terms of an auxiliary field that differs from the velocity by a gauge transformation. The gauge freedom allows us to assign simple and specific boundary conditions for both the auxiliary field and the gauge field, ..."
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Cited by 43 (9 self)
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the efficiency and accuracy of the gauge method by several numerical examples, including the flow past cylinder. 1. The gauge formulation In this paper, we introduce a new formulation of the incompressible Navier-Stokes equation and demonstrate that this new formulation is particularly suited for numer-ical
Deconvolution-based nonlinear filtering for incompressible flows at moderately large Reynolds numbers
"... Deconvolution-based nonlinear filtering for incompressible flows at moderately ..."
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Deconvolution-based nonlinear filtering for incompressible flows at moderately
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
- J. Sci. Comput
, 2000
"... In [6], the Ghost Fluid Method (GFM) was developed to capture the boundary conditions at a contact discontinuity in the inviscid compressible Euler equations. In [11], related techniques were used to develop a boundary condition capturing approach for the variable coefficient Poisson equation on dom ..."
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Cited by 138 (25 self)
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on domains with an embedded interface. In this paper, these new numerical techniques are extended to treat multiphase incompressible flow including the effects of viscosity, surface tension and gravity. While the most notable finite difference techniques for multiphase incompressible flow involve numerical
Scalars convected by a 2D incompressible flow
"... We provide a test for numerical simulations, for several two dimensional incompressible flows, that appear to develop sharp fronts. We show that in order to have a front the velocity has to have uncontrolled velocity growth. ..."
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Cited by 2 (2 self)
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We provide a test for numerical simulations, for several two dimensional incompressible flows, that appear to develop sharp fronts. We show that in order to have a front the velocity has to have uncontrolled velocity growth.
Finite Difference Schemes for Incompressible Flows in Vorticity Formulations
- J. Comput. Phys
, 1996
"... In this paper, we review some recent progress made in [4, 5, 6] on finite difference schemes for viscous incompressible flows using vorticity formulation. The main purpose of this series of papers [4, 5, 6] is to resurrect the idea of using local vorticity boundary condition for unsteady calculation ..."
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Cited by 34 (7 self)
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In this paper, we review some recent progress made in [4, 5, 6] on finite difference schemes for viscous incompressible flows using vorticity formulation. The main purpose of this series of papers [4, 5, 6] is to resurrect the idea of using local vorticity boundary condition for unsteady
Convergence of gauge method for incompressible flow
- Math. Comp
, 2000
"... Abstract. A new formulation, a gauge formulation of the incompressible Navier-Stokes equations in terms of an auxiliary field a and a gauge variable φ, u = a + ∇φ, was proposed recently by E and Liu. This paper provides a theoretical analysis of their formulation and verifies the computational advan ..."
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Cited by 16 (7 self)
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Abstract. A new formulation, a gauge formulation of the incompressible Navier-Stokes equations in terms of an auxiliary field a and a gauge variable φ, u = a + ∇φ, was proposed recently by E and Liu. This paper provides a theoretical analysis of their formulation and verifies the computational
Results 11 - 20
of
4,283
