Zobrazeno 1 - 10
of 98
pro vyhledávání: '"BROWNLEE, R. A."'
Publikováno v:
Progress in Computational Physics, 2013, vol. 3, 31-52
We describe how regularization of lattice Boltzmann methods can be achieved by modifying dissipation. Classes of techniques used to try to improve regularization of LBMs include flux limiters, enforcing the exact correct production of entropy and man
Externí odkaz:
http://arxiv.org/abs/1110.0270
Publikováno v:
Algorithms for Approximation: Proceedings of the 5th International Conference, Chester UK, July 18-22 2005, pages 103-112, Springer, 2007
In this paper we consider two sources of enhancement for the meshfree Lagrangian particle method smoothed particle hydrodynamics (SPH) by improving the accuracy of the particle approximation. Namely, we will consider shape functions constructed using
Externí odkaz:
http://arxiv.org/abs/0705.4374
Publikováno v:
SIAM J. Math. Anal., 39(2):554-564, 2007
We adapt Schaback's error doubling trick [R. Schaback. Improved error bounds for scattered data interpolation by radial basis functions. Math. Comp., 68(225):201--216, 1999.] to give error estimates for radial interpolation of functions with smoothne
Externí odkaz:
http://arxiv.org/abs/0705.4368
Autor:
Brownlee, R. A.
Publikováno v:
Numer. Algorithms, 39(1-3):57-68, 2005
The error between appropriately smooth functions and their radial basis function interpolants, as the interpolation points fill out a bounded domain in R^d, is a well studied artifact. In all of these cases, the analysis takes place in a natural func
Externí odkaz:
http://arxiv.org/abs/0705.4300
Autor:
Brownlee, R. A., Light, W. A.
Publikováno v:
IMA J. Numer. Anal., 24(2):179-192, 2004
In this paper we consider the approximation of functions by radial basis function interpolants. There is a plethora of results about the asymptotic behaviour of the error between appropriately smooth functions and their interpolants, as the interpola
Externí odkaz:
http://arxiv.org/abs/0705.4281
The Navier--Stokes equations arise naturally as a result of Ehrenfests' coarse-graining in phase space after a period of free-flight dynamics. This point of view allows for a very flexible approach to the simulation of fluid flow for high-Reynolds nu
Externí odkaz:
http://arxiv.org/abs/0705.4371
Publikováno v:
Physica A, V. 387, Issues 2-3 (2008), Pages 385-406
We construct a system of nonequilibrium entropy limiters for the lattice Boltzmann methods (LBM). These limiters erase spurious oscillations without blurring of shocks, and do not affect smooth solutions. In general, they do the same work for LBM as
Externí odkaz:
http://arxiv.org/abs/0704.0043
We demonstrate how to produce a stable multispeed lattice Boltzmann method (LBM) for a wide range of velocity sets, many of which were previously thought to be intrinsically unstable. We use non-Gauss--Hermitian cubatures. The method operates stably
Externí odkaz:
http://arxiv.org/abs/cond-mat/0611616
Publikováno v:
Phys. Rev. E 75, 036711 (2007)
We revisit the classical stability versus accuracy dilemma for the lattice Boltzmann methods (LBM). Our goal is a stable method of second-order accuracy for fluid dynamics based on the lattice Bhatnager--Gross--Krook method (LBGK). The LBGK scheme ca
Externí odkaz:
http://arxiv.org/abs/cond-mat/0611444
Publikováno v:
Phys Rev E 74 (2006), 037703
The lattice-Boltzmann method (LBM) and its variants have emerged as promising, computationally efficient and increasingly popular numerical methods for modelling complex fluid flow. However, it is acknowledged that the method can demonstrate numerica
Externí odkaz:
http://arxiv.org/abs/cond-mat/0605359