Showing papers in "Journal of Computational Physics in 2004"

TL;DR: A new numerical method based on a combination of the classical shape derivative and of the level-set method for front propagation, which can easily handle topology changes and is strongly dependent on the initial guess.

TL;DR: The aim of this paper is to present the reader with a perspective on how JFNK may be applicable to applications of interest and to provide sources of further practical information.

TL;DR: Explicit numerical methods for spatial derivation, filtering, and time integration are proposed in this article with the aim of computing flow and noise with high accuracy and fidelity, and they are constructed in the same way by minimizing the dispersion and the dissipation errors in the wavenumber space up to kΔx = π/2 corresponding to four points per wavelength.

TL;DR: In this paper, a new computational method, the immersed boundary-lattice Boltzmann method, is presented, which combines the most desirable features of the lattice Boltzman and immersed boundary methods and uses a regular Eulerian grid for the flow domain and a Lagrangian grid to follow particles contained in the flow field.

TL;DR: A design criteria for a volume-of-fluid interface reconstruction algorithm to be second-order accurate is proposed, which is that it reproduce lines in two space dimensions or planes in three space dimensions exactly.

TL;DR: Results for the generation of laser wake fields through laser-plasma interaction are presented and a new fluid algorithm that allows for regions of zero density was developed and incorporated into the code.

TL;DR: In this article, a lattice Boltzmann method for simulation of two-phase immiscible fluids with large density differences is proposed, and the difficulty in the treatment of large density difference is resolved by using the projection method.

TL;DR: In this article, a semi-implicit time-advance approach was used to simulate the growth rate of resistive tearing modes in 3D nonlinear non-ideal magnetohydrodynamics.

TL;DR: In this article, the authors discuss the development of a numerical algorithm and solver capable of performing large-eddy simulation in very complex geometries often encountered in industrial applications, such as unstructured hybrid grids.

TL;DR: A new fast multipole method for particle simulations that does not require the implementation of multipole expansions of the underlying kernel, and it is based only on kernel evaluations that matches its potential to the potential of the original sources at a surface, in the far field.

TL;DR: In this article, an uncertainty quantification scheme based on generalized polynomial chaos (PC) representations is constructed, which is applied to a model problem involving a simplified dynamical system and to the classical problem of Rayleigh-Benard instability.

TL;DR: The HWENO finite volume methodology is more suitable to serve as limiters for the Runge-Kutta discontinuous Galerkin (RKDG) methods, than the original WENO infinite volume methodology.

TL;DR: In this article, a finite difference operator approximating second derivatives and satisfying a summation by parts rule was derived for the fourth, sixth and eighth order case by using the symbolic mathematics software Maple.

TL;DR: In this article, the equilibrium configurations of a vesicle membrane under elastic bending energy, with prescribed volume and surface area, were derived using a variational phase field method. But the authors only considered the axial symmetrical case.

TL;DR: The numerical results suggest that the new WENO-HLLC and WenO-MUSTA schemes compare satisfactorily with the state-of-the-art finite-volume scheme of Shi et al.

TL;DR: In this paper, the authors employ a nonlocal slender body theory that yields an integral equation along the filament centerline, relating the force exerted on the body to the filament velocity.

TL;DR: In this paper, the authors investigated the use of topological derivatives in combination with the standard level set method for shape reconstruction and optimization problems and proposed a new approach generalizing the standard speed method, which is obtained by using a source term in the level set equation that depends on the topological derivative of the objective functional.

TL;DR: A multi-resolution analysis (MRA) is applied to an uncertainty propagation scheme based on a generalized polynomial chaos (PC) representation, leading to a more efficient, flexible and parallelizable scheme.

TL;DR: In this article, a higher-order solution of the means and variance of hydraulic head for saturated flow in randomly heterogeneous porous media was obtained by the combination of Karhunen-Loeve decomposition, polynomial expansion, and perturbation methods.

TL;DR: The locally divergence-free discontinuous Galerkin method for numerically solving the Maxwell equations is developed, using the use of approximate solutions that are exactly divergence- free inside each element.

TL;DR: For the small wave-number limit hk → 0, it is shown the discontinuous Galerkin gives a higher order of accuracy than the standardGalerkin procedure, thereby confirming the conjectures of Hu and Atkins.

TL;DR: In this paper, the authors introduced a new high order multi-dimensional techniques for differential equations and numerical quadrature based on the analysis and numerical results of the singularity regularization.

TL;DR: A conservative, second-order accurate fully implicit discretization of the Navier-Stokes and Cahn-Hilliard system that has an associated discrete energy functional is developed and convergence of the scheme numerically in both the presence and absence of flow is demonstrated.

TL;DR: The focus of this paper is to study the performance of the SV method on multidimensional non-linear systems, and to verify that high order solution accuracy up to fourth-order can be achieved for the systems of conservation laws.

TL;DR: In this article, a tuned center-difference (TCD) scheme optimized for large-eddy simulations (LES) using a method proposed by Ghosal was developed, and a hybrid method combining the TCD stencil with a weighted essentially nonoscillatory (WENO) method was then constructed for use in the LES of strongly compressible, shock-driven flows.

TL;DR: In this article, a primitive variable formulation for simulation of time-dependent incompressible flows in cylindrical coordinates is developed, where Spectral elements are used to discretise the meridional semi-plane, coupled with Fourier expansions in azimuth.

TL;DR: In this article, a simple, fast sweeping method based on the Lax-Friedrichs monotone numerical Hamiltonian was proposed to approximate viscosity solutions of arbitrary static Hamilton-Jacobi equations in any number of spatial dimensions.

TL;DR: In this paper, the Euler-Euler approach for the fluid-particle dynamics is employed with a low-Reynolds-number k-ω model for laminar-to-turbulent airflow and the mass transfer equation for dispersion of nano-particles or vapors.

TL;DR: It is shown that the CT formalism, when fully exploited, can be used as a general guideline to design the reconstruction procedures of the B vector field, to adapt standard upwind procedures for the momentum and energy equations, avoiding the onset of numerical monopoles of O(1) size.

TL;DR: In this article, an axisymmetric numerical method to simulate the dynamics of insoluble surfactant on a moving liquid-fluid interface is presented, where the motion of the interface is captured using a volume of fluid method.