Dongwook Lee, University of California, Santa Cruz
We present an entirely new class of high-order numerical algorithms for computational fluid dynamics, particularly suitable for modern extreme scale high-performance computing architectures. The new method is based on the Gaussian Processes (GP) modeling that generalizes the Gaussian probability distribution. Our approach is to adapt the idea of the GP prediction technique which utilizes the covariance kernel functions, and use it to reconstruct a high-order approximations for computational simulations. We propose the GP high-order method as a new numerical high-order formulation, alternative to the conventional polynomial-based approaches.