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2013 Largeeddy simulation of turbulent openchannel flow over threedimensional dunes
 J. Hydraul. Res
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A massively parallel adaptive sharp interface solver with application to mechanical heart valve simulations, The
, 2012
"... A massively parallel adaptive sharp interface solver with application to mechanical heart valve simulations ..."
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A massively parallel adaptive sharp interface solver with application to mechanical heart valve simulations
IHTC1422399 NUMERICAL STUDY OF LAMINAR FLOW AND MASS TRANSFER FOR INLINE SPACERFILLED PASSAGES
"... ABSTRACT Performance calculations for laminar fluid flow and mass transfer are presented for a spacerfilled passage containing cylindrical spacers configured in an inlinesquare arrangement, typical of those employed in the process industries. Numerical calculations are performed for fullydevelop ..."
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ABSTRACT Performance calculations for laminar fluid flow and mass transfer are presented for a spacerfilled passage containing cylindrical spacers configured in an inlinesquare arrangement, typical of those employed in the process industries. Numerical calculations are performed for fullydeveloped flow, based on streamwise periodic conditions for a 'unit cell' and compared with those obtained for developing regime in a row of 10 such units. The method is validated for an empty passage (i.e. a plane duct). Results are presented for the normalized mass transfer coefficient and driving force, as function of mean flow Reynolds number, and also the wall mass flux, or blowing parameter. Both constant and variable wall velocities were considered, the latter being typical of those found in many practical membrane assemblies.
Linkwise Artificial Compressibility Method
"... The Artificial Compressibility Method (ACM) for the incompressible NavierStokes equations is (linkwise) reformulated (referred to as LWACM) by a finite set of discrete directions (links) on a regular Cartesian mesh, in analogy with the Lattice Boltzmann Method (LBM). The main advantage is the pos ..."
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The Artificial Compressibility Method (ACM) for the incompressible NavierStokes equations is (linkwise) reformulated (referred to as LWACM) by a finite set of discrete directions (links) on a regular Cartesian mesh, in analogy with the Lattice Boltzmann Method (LBM). The main advantage is the possibility of exploiting well established technologies originally developed for LBM and classical computational fluid dynamics, with special emphasis on finite differences (at least in the present paper), at the cost of minor changes. For instance, wall boundaries not aligned with the background Cartesian mesh can be taken into account by tracing the intersections of each link with the wall (analogously to LBM technology). LWACM requires no highorder moments beyond hydrodynamics (often referred to as ghost moments) and no kinetic expansion. Like finite difference schemes, only standard Taylor expansion is needed for analyzing consistency. Preliminary efforts towards optimal implementations have shown that LWACM is capable of similar computational speed as optimized (BGK) LBM. In addition, the memory demand is significantly smaller than (BGK) LBM. Importantly, with an efficient implementation, this algorithm may be one of the few which is computebound and not memorybound. Two and threedimensional benchmarks are investigated, and an extensive comparative study between the present approach and state of the art methods from the literature is carried out. Numerical evidences suggest that LWACM represents an excellent alternative in terms of simplicity, stability and accuracy. Key words: artificial compressibility method (ACM); lattice Boltzmann method (LBM); complex boundaries; incompressible NavierStokes equations
Article history:
, 2010
"... The integral form of the conventional HLL fluxes are presented by taking integrals around spatially and temporally constant properties. Through the introduction of the star region bounded by two propagating waves, the flux across the interface can be mathematically determined. This allows for the fl ..."
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The integral form of the conventional HLL fluxes are presented by taking integrals around spatially and temporally constant properties. Through the introduction of the star region bounded by two propagating waves, the flux across the interface can be mathematically determined. This allows for the flexible solution of a various number of conservative hyperbolic systems, such as the Shallow Water Equations and the Euler Equations. The keystone for the HLL method is the assumption of the presence of a single intermediate state bounded to two propagating waves. This is a valid assumption for two variable hyperbolic systems [3] and thus the HLL method is still used for 00219991/ $ see front matter 2010 Elsevier Inc. All rights reserved.
Computing and Information IMMERSED FINITE ELEMENT METHODS FOR ELLIPTIC INTERFACE PROBLEMS WITH NONHOMOGENEOUS JUMP CONDITIONS
"... Abstract. This paper is to develop immersed finite element (IFE) functions for solving second order elliptic boundary value problems with discontinuous coefficients and nonhomogeneous jump conditions. These IFE functions can be formed on meshes independent of interface. Numerical examples demonstra ..."
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Abstract. This paper is to develop immersed finite element (IFE) functions for solving second order elliptic boundary value problems with discontinuous coefficients and nonhomogeneous jump conditions. These IFE functions can be formed on meshes independent of interface. Numerical examples demonstrate that these IFE functions have the usual approximation capability expected from polynomials employed. The related IFE methods based on the Galerkin formulationcan beconsidered asnatural extensions ofthose IFE methods inthe literature developed for homogeneous jump conditions, and they can optimally solve the interface problems with a nonhomogeneous flux jump condition. Key Words. Key words: interface problems, immersed interface, finite element, nonhomogeneous jump conditions.