Title
A New Class of High-Order Methods for Fluid Dynamics Simulations Using Gaussian Process Modeling: One-Dimensional Case.
Abstract
We introduce an entirely new class of high-order methods for computational fluid dynamics based on the Gaussian process (GP) family of stochastic functions. Our approach is to use kernel-based GP prediction methods to interpolate/reconstruct high-order approximations for solving hyperbolic PDEs. We present a new high-order formulation to solve (magneto)hydrodynamic equations using the GP approach that furnishes an alternative to conventional polynomial-based approaches.
Year
DOI
Venue
2018
10.1007/s10915-017-0625-2
J. Sci. Comput.
Keywords
Field
DocType
Gaussian processes, Stochastic models, High-order methods, Finite volume method, Gas dynamics, Magnetohydrodynamics
Kernel (linear algebra),Mathematical optimization,Polynomial,Interpolation,Fluid dynamics,Gaussian process,Stochastic modelling,Computational fluid dynamics,Finite volume method,Mathematics
Journal
Volume
Issue
ISSN
76
1
0885-7474
Citations 
PageRank 
References 
1
0.35
20
Authors
4
Name
Order
Citations
PageRank
Adam Reyes141.06
Dongwook Lee241862.32
Carlo Graziani320.70
petros tzeferacos4394.74