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35
Flows on Surfaces of Arbitrary Topology
, 2003
"... In this paper we introduce a method to simulate fluid flows on smooth surfaces of arbitrary topology: an effect never seen before. We achieve this by combining a twodimensional stable fluid solver with an atlas of parametrizations of a CatmullClark surface. The contributions of this paper are: (i) ..."
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In this paper we introduce a method to simulate fluid flows on smooth surfaces of arbitrary topology: an effect never seen before. We achieve this by combining a twodimensional stable fluid solver with an atlas of parametrizations of a CatmullClark surface. The contributions of this paper are: (i) an extension of the Stable Fluids solver to arbitrary curvilinear coordinates, (ii) an elegant method to handle crosspatch boundary conditions and (iii) a set of new external forces custom tailored for surface flows. Our techniques can also be generalized to handle other types of processes on surfaces modeled by partial differential equations, such as reactiondiffusion. Some of our simulations allow a user to interactively place densities and apply forces to the surface, then watch their effects in realtime. We have also computed higher resolution animations of surface flows offline.
Single Assignment C  Entwurf und Implementierung einer CVariante mit spezieller Unterstützung shapeinvarianter ArrayOperationen
, 1996
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One and Twoequation Models for Canopy Turbulence
 Bound.–Lay. Meteorol
"... Abstract. The predictive skills of single and twoequation (or K–e) models to compute profiles of mean velocity (U), turbulent kinetic energy (K), and Reynolds stresses ðu0w0Þ are compared against datasets collected in eight vegetation types and in a flume experiment. These datasets range in canop ..."
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Abstract. The predictive skills of single and twoequation (or K–e) models to compute profiles of mean velocity (U), turbulent kinetic energy (K), and Reynolds stresses ðu0w0Þ are compared against datasets collected in eight vegetation types and in a flume experiment. These datasets range in canopy height h from 0.12 to 23m, and range in leaf area index (LAI) from 2 to 10m2 m2. We found that for all datasets and for both closure models, measured and modelled U, K, and u0w0 agree well when the mixing length (lm) is a priori specified. In fact, the rootmean squared error between measured and modelled U, K, and u0w0 is no worse than published values for second and thirdorder closure approaches. Within the context of onedimensional modelling, there is no clear advantage to including a turbulent kinetic dissipation rate (e) budget when lm can be specified instead. The broader implication is that the added complexity introduced by the e budget in K–e models need not translate into improved predictive skills of U, K, and u0w0 profiles when compared to singleequation models.
The errorminimizationbased strategy for moving mesh methods
 Commun. Comput. Phys
, 2006
"... Abstract. The typical elements in a numerical simulation of fluid flow using moving meshes are a time integration scheme, a rezone method in which a new mesh is defined, and a remapping (conservative interpolation) in which a solution is transferred to the new mesh. The objective of the rezone metho ..."
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Cited by 9 (0 self)
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Abstract. The typical elements in a numerical simulation of fluid flow using moving meshes are a time integration scheme, a rezone method in which a new mesh is defined, and a remapping (conservative interpolation) in which a solution is transferred to the new mesh. The objective of the rezone method is to move the computational mesh to improve the robustness, accuracy and eventually efficiency of the simulation. In this paper, we consider the onedimensional viscous Burgers ’ equation and describe a new rezone strategy which minimizes the L2 norm of error and maintains mesh smoothness. The efficiency of the proposed method is demonstrated with numerical examples. Key words: Moving meshes; Burgers ’ equation; error estimates. 1
A fully nonlinear Boussinesq model in generalized curvilinear coordinates
 Coastal Engineering
, 2001
"... Based on the fully nonlinear Boussinesq equations in Cartesian coordinates, the equations in generalized coordinates are derived to adapt computations to irregularly shaped shorelines, such as harbors, bays and tidal inlets, and to make computations more efficient in large nearshore regions. Contra ..."
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Cited by 8 (3 self)
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Based on the fully nonlinear Boussinesq equations in Cartesian coordinates, the equations in generalized coordinates are derived to adapt computations to irregularly shaped shorelines, such as harbors, bays and tidal inlets, and to make computations more efficient in large nearshore regions. Contravariant components of velocity vectors are employed in the derivation instead of the normal components in curvilinear coordinates or original components in Cartesian coordinates, which greatly simplifies the equations in generalized curvilinear coordinates. A highorder finite difference scheme with staggered grids in the image domain is adopted in the numerical model. The model is applied to five examples involving curvilinear coordinate systems. The results of these cases are in good agreement with analytical results, experimental data, and the results from the uniform grid model, which shows that the model has good accuracy and efficiency in dealing with the computations of nonlinear surface gravity waves in domains with complicated geometries.
Adaptive momentoffluid method
 J. Comp. Phys
, 2009
"... This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. ..."
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Cited by 7 (0 self)
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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. ACCEPTED MANUSCRIPT
Summary of EASM Turbulence Models in CFL3D with Validation Test Cases
, 2003
"... Since its founding, NASA has been dedicated to the advancement of aeronautics and space science. The NASA Scientific and Technical Information (STI) Program Office plays a key part in helping NASA maintain this important role. The NASA STI Program Office is operated by Langley Research Center, the l ..."
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Cited by 3 (2 self)
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Since its founding, NASA has been dedicated to the advancement of aeronautics and space science. The NASA Scientific and Technical Information (STI) Program Office plays a key part in helping NASA maintain this important role. The NASA STI Program Office is operated by Langley Research Center, the lead center for NASA’s scientific and technical information. The NASA STI Program Office provides access to the NASA STI Database, the largest collection of aeronautical and space science STI in the world. The Program Office is also NASA’s institutional mechanism for disseminating the results of its research and development activities. These results are published by
Stochastic Simulation
 In Proceedings of the Royal Society of London
, 1983
"... density estimation: Application to human exposure ..."
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A NONLINEAR COMPUTATIONAL AEROELASTICITY MODEL FOR AIRCRAFT WINGS
, 2005
"... Département de Génie Mécanique, École de technologie supérieure ..."
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