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JCPHY
2016
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10 years 28 days ago
A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems
For problems defined in a two-dimensional domain Ω with boundary conditions specified on a curve Γ, we consider discontinuous Galerkin (DG) schemes with high order polynomial...
Xiangxiong Zhang
JCPHY
2016
50views more  JCPHY 2016»
10 years 28 days ago
Dimension-independent likelihood-informed MCMC
Many Bayesian inference problems require exploring the posterior distribution of high-dimensional parameters that, in principle, can be described as functions. This work introduces...
Tiangang Cui, Kody J. H. Law, Youssef M. Marzouk
JCPHY
2016
35views more  JCPHY 2016»
10 years 28 days ago
Exact calculation of the overlap volume of spheres and mesh elements
An algorithm for the exact calculation of the overlap volume of a sphere and a tetrahedron, wedge, or hexahedron is described. The method can be used to determine the exact local ...
Severin Strobl, Arno Formella, Thorsten Pösch...
JCPHY
2016
40views more  JCPHY 2016»
10 years 28 days ago
Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis
Abstract. The purpose of this paper is twofold. Firstly, we provide explicit and compact formulas for computing both Caputo and (modified) Riemann-Liouville (RL) fractional pseudo...
Yujian Jiao, Li-Lian Wang, Can Huang
JCPHY
2016
33views more  JCPHY 2016»
10 years 28 days ago
An assessment of coupling algorithms for nuclear reactor core physics simulations
This paper evaluates the performance of multiphysics coupling algorithms on a light water nuclear reactor core simulation. The simulation couples the k-eigenvalue form of the neut...
Steven P. Hamilton, Mark A. Berrill, Kevin T. Clar...
46
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JCPHY
2016
54views more  JCPHY 2016»
10 years 28 days ago
An added-mass partition algorithm for fluid-structure interactions of compressible fluids and nonlinear solids
We describe an added-mass partitioned (AMP) algorithm for solving fluid-structure interaction (FSI) problems involving inviscid compressible fluids interacting with nonlinear so...
Jeffrey W. Banks, William D. Henshaw, Ashwana K. K...
JCPHY
2016
33views more  JCPHY 2016»
10 years 28 days ago
Numerical methods for high-dimensional probability density function equations
In this paper we address the problem of computing the numerical solution to kinetic partial differential equations involving many phase variables. These types of equations arise ...
H. Cho, D. Venturi, George E. Karniadakis
39
Voted
JCPHY
2016
34views more  JCPHY 2016»
10 years 28 days ago
A hybrid method with deviational particles for spatial inhomogeneous plasma
In this work we propose a Hybrid method with Deviational Particles (HDP) for a plasma modeled by the inhomogeneous Vlasov-Poisson-Landau system. We split the distribution into a M...
Bokai Yan
JCPHY
2016
61views more  JCPHY 2016»
10 years 28 days ago
Hyperbolic systems of equations posed on erroneous curved domains
The effect of an inaccurate geometry description on the solution accuracy of a hyperbolic problem is discussed. The inaccurate geometry can for example come from an imperfect CAD ...
Jan Nordström, Samira Nikkar
JCPHY
2016
47views more  JCPHY 2016»
10 years 28 days ago
The method of polarized traces for the 2D Helmholtz equation
We present a solver for the 2D high-frequency Helmholtz equation in heterogeneous acoustic media, with online parallel complexity that scales optimally as O(N L ), where N is the ...
Leonardo Zepeda-Núñez, Laurent Deman...