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Search Results: 1 - 10 of 44722 matches for " Feng Luo "
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3D Water Environment Simulation for North Jiangsu Offshore Sea Based on EFDC  [PDF]
Feng LUO, Ruijie LI
Journal of Water Resource and Protection (JWARP) , 2009, DOI: 10.4236/jwarp.2009.11007
Abstract: The underwater topography in the offshore sea area of north Jiangsu is complicated, including the middle radial sand ridges and northern Haizhou bay underwater shoal. Therefore, it forms special marine dynamic conditions and typical shoal wetland ecosystem. Previous researches of these sea areas were mainly focused on the forms of morphogenesis and the characteristic of conformation of sand ridges. Few studies have done on three dimensional hydrodynamic and water quality simulation. This paper introduced EFDC (Environ-mental Fluid Dynamics Code) to study the tidal current fields, dilution and diffusion of the sewage outlet near Yangkou Port. Comparison between computation results and the observed data indicates that this model could reasonably simulate hydrodynamic fields. Based on the computed tidal current field, the distributions of COD concentration were simulated. The range of contamination diffusion derived from sewage outlet was very limited, and the influence range of sewage came to the maximum when ebb slacks in neap tide period.
Development and research in contemporary Chinese home education
LUO Feng
International Journal of Progressive Education , 2006,
Abstract: In this article, the author aims to develop a macro level understanding of homeeducation and its research in China. The author analyzes the background, the reasons of revival, special features, and major contents of home education research in the late 70's and early 80's of the 20th century, and explores the development in the succeeding three decades, 1980s, the 90's and the beginning of the 21st century.
A note on complete hyperbolic structures on ideal triangulated 3-manifolds
Feng Luo
Mathematics , 2010,
Abstract: It is a theorem of Casson and Rivin that the complete hyperbolic metric on a cusp end ideal triangulated 3-manifold maximizes volume in the space of all positive angle structures. We show that the conclusion still holds if some of the tetrahedra in the complete metric are flat.
Rigidity of Polyhedral Surfaces, III
Feng Luo
Mathematics , 2010,
Abstract: This paper investigates several global rigidity issues for polyhedral surfaces including inversive distance circle packings. Inversive distance circle packings are polyhedral surfaces introduced by P. Bowers and K. Stephenson as a generalization of Andreev-Thurston's circle packing. They conjectured that inversive distance circle packings are rigid. Using a recent work of R. Guo on variational principle associated to the inversive distance circle packing, we prove rigidity conjecture of Bowers-Stephenson in this paper. We also show that each polyhedral metric on a triangulated surface is determined by various discrete curvatures introduced in our previous work, verifying a conjecture in \cite{Lu1}. As a consequence, we show that the discrete Laplacian operator determines a Euclidean polyhedral metric up to scaling.
Volume Optimization, Normal Surfaces and Thurston's Equation on Triangulated 3-Manifolds
Feng Luo
Mathematics , 2009,
Abstract: We propose a finite dimensional variational principle on triangulated 3-manifolds so that its critical points are related to solutions to Thurston's gluing equation and Haken's normal surface equation. The action functional is the volume. This is a generalization of an earlier program by Casson and Rivin for compact 3-manifolds with torus boundary. Combining the result in this paper and the work of Futer-Gu\'eritaud, Segerman-Tillmann and Luo-Tillmann, we obtain a new finite dimensional variational formulation of the Poncare-conjecture. This provides a step toward a new proof the Poincar\'e conjecture without using the Ricci flow.
Some Applications of a Multiplicative Structure on Simple Loops in Surfaces
Feng Luo
Mathematics , 1999,
Abstract: We discuss some applications of an intrinsic multipication in the space of simple loops in a surface.
3-Dimensional Schlaefli Formula and Its Generalization
Feng Luo
Mathematics , 2008,
Abstract: Several identities similar to the Schlaefli formula are established for tetrahedra in a space of constant curvature.
Torsion Elements in the Mapping Class Group of a Surface
Feng Luo
Mathematics , 2000,
Abstract: Given a finite set of $r$ points in a closed surface of genus $g$, we consider the torsion elements in the mapping class group of the surface leaving the finite set invariant. We show that the torsion elements generate the mapping class group if and only if $(g, r) \neq (2, 5k+4)$ for some integer $k$.
Combinatorial Yamabe Flow on Surfaces
Feng Luo
Mathematics , 2003,
Abstract: In this paper we develop an approach to conformal geometry of piecewise flat metrics on manifolds. In particular, we formulate the combinatorial Yamabe problem for piecewise flat metrics. In the case of surfaces, we define the combinatorial Yamabe flow on the space of all piecewise flat metrics associated to a triangulated surface. We show that the flow either develops removable singularities or converges exponentially fast to a constant combinatorial curvature metric. If the singularity develops, we show that the singularity is always removable by a surgery procedure on the triangulation. We conjecture that after finitely many such surgery changes on the triangulation, the flow converges to the constant combinatorial curvature metric as time approaches infinity.
Rigidity of Polyhedral Surfaces
Feng Luo
Mathematics , 2006,
Abstract: We study rigidity of polyhedral surfaces and the moduli space of polyhedral surfaces using variational principles. Curvature like quantities for polyhedral surfaces are introduced. Many of them are shown to determine the polyhedral metric up to isometry. The action functionals in the variational approaches are derived from the cosine law and the Lengendre transformation of them. These include energies used by Colin de Verdiere, Braegger, Rivin, Cohen-Kenyon-Propp, Leibon and Bobenko-Springborn for variational principles on triangulated surfaces. Our study is based on a set of identities satisfied by the derivative of the cosine law. These identities which exhibit similarity in all spaces of constant curvature are probably a discrete analogous of the Bianchi identity.
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