Results 1  10
of
17,286
Fronts propagating with curvature dependent speed: algorithms based on Hamilton–Jacobi formulations
 Journal of Computational Physics
, 1988
"... We devise new numerical algorithms, called PSC algorithms, for following fronts propagating with curvaturedependent speed. The speed may be an arbitrary function of curvature, and the front can also be passively advected by an underlying flow. These algorithms approximate the equations of motion, w ..."
Abstract

Cited by 1183 (64 self)
 Add to MetaCart
by computing the solution to a variety of surface motion problems. 1
Practical animation of liquids
 Graphical Models and Image Processing
, 1996
"... We present a comprehensive methodology for realistically animating liquid phenomena. Our approach unifies existing computer graphics techniques for simulating fluids and extends them by incorporating more complex behavior. It is based on the NavierStokes equations which couple momentum and mass con ..."
Abstract

Cited by 442 (26 self)
 Add to MetaCart
. The resulting vector and scalar fields are used to drive a height field equation representing the liquid surface. The nature of the coupling between obstacles in the environment and free variables allows for the simulation of a wide range of effects that were not possible with previous computergraphics fluid
Turbulence statistics in fully developed channel flow at low Reynolds number
 J. Fluid Mech
, 1987
"... A direct numerical simulation of a turbulent channel flow is performed. The unsteady NavierStokes equations are solved numerically at a Reynolds number of 3300, based on thc mean centreline velocity and channel halfwidth, with about 4 x los grid points (192 x 129 x 160 in 2, y, 2). All essential t ..."
Abstract

Cited by 373 (14 self)
 Add to MetaCart
A direct numerical simulation of a turbulent channel flow is performed. The unsteady NavierStokes equations are solved numerically at a Reynolds number of 3300, based on thc mean centreline velocity and channel halfwidth, with about 4 x los grid points (192 x 129 x 160 in 2, y, 2). All essential
New HighResolution Central Schemes for Nonlinear Conservation Laws and ConvectionDiffusion Equations
 J. Comput. Phys
, 2000
"... this paper we introduce a new family of central schemes which retain the simplicity of being independent of the eigenstructure of the problem, yet which enjoy a much smaller numerical viscosity (of the corresponding order )).In particular, our new central schemes maintain their highresolution ..."
Abstract

Cited by 229 (21 self)
 Add to MetaCart
this paper we introduce a new family of central schemes which retain the simplicity of being independent of the eigenstructure of the problem, yet which enjoy a much smaller numerical viscosity (of the corresponding order )).In particular, our new central schemes maintain their high
On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
, 2009
"... We study nonlinear degenerate parabolic equations where the flux function f(x, t, u) does not depend Lipschitz continuously on the spatial location x. By properly adapting the “doubling of variables” device due to Kruˇzkov [24] and Carrillo [12], we prove a uniqueness result within the class of en ..."
Abstract

Cited by 60 (20 self)
 Add to MetaCart
We study nonlinear degenerate parabolic equations where the flux function f(x, t, u) does not depend Lipschitz continuously on the spatial location x. By properly adapting the “doubling of variables” device due to Kruˇzkov [24] and Carrillo [12], we prove a uniqueness result within the class
A Variational Level Set Approach to Multiphase Motion
, 1996
"... this article we shall develop an algorithm for the Since its inception, the method has been used to compute motion of multiple junctions which is associated with an and analyze an array of mathematical and physical pheenergy functional involving the length of each interface nomena. See, e.g., [8] an ..."
Abstract

Cited by 318 (39 self)
 Add to MetaCart
;area" in the multiple junctions. Also in that paper, and in [5, 7], a simple above). Examples of such motion include solid, liquid, method based on the diffusion of characteristic functions grain, or multiphase boundaries. These internal interfaces of each set V i , followed by a certain reassignment step
Functional Phonology  Formalizing the interactions between articulatory and perceptual drives
, 1998
"... ..."
A new meshless local PetrovGalerkin (MLPG) approach in computational mechanics
 Comput. Mech
, 1998
"... Abstract: A comparison study of the efficiency and accuracy of a variety of meshless trial and test functions is presented in this paper, based on the general concept of the meshless local PetrovGalerkin (MLPG) method. 5 types of trial functions, and 6 types of test functions are explored. Differe ..."
Abstract

Cited by 291 (53 self)
 Add to MetaCart
Abstract: A comparison study of the efficiency and accuracy of a variety of meshless trial and test functions is presented in this paper, based on the general concept of the meshless local PetrovGalerkin (MLPG) method. 5 types of trial functions, and 6 types of test functions are explored
Upwind difference approximations for degenerate parabolic convectiondiffusion equations with a discontinuous coefficient
 IMA J. Numer. Anal
, 2002
"... Abstract. We analyze approximate solutions generated by an upwind difference scheme (of EngquistOsher type) for nonlinear degenerate parabolic convectiondiffusion equations where the nonlinear convective flux function has a discontinuous coefficient γ(x) and the diffusion function A(u) is allowed ..."
Abstract

Cited by 43 (13 self)
 Add to MetaCart
Abstract. We analyze approximate solutions generated by an upwind difference scheme (of EngquistOsher type) for nonlinear degenerate parabolic convectiondiffusion equations where the nonlinear convective flux function has a discontinuous coefficient γ(x) and the diffusion function A(u) is allowed
Results 1  10
of
17,286