19 citations · 28 across the 10 of their papers we have counts for
11 papers
Interpolated Discrepancy Data Assimilation for PDEs with Sparse Observations
Tong Wu, Humberto Godinez, Vitaliy Gyrya +1
Sparse sensor networks in weather and ocean modeling observe only a small fraction of the system state, which destabilizes standard nudging-based data assimilation. We introduce In…
Simulation of Gas Mixture Dynamics in a Pipeline Network using Explicit Staggered-Grid Discretization
Yan Brodskyi, Vitaliy Gyrya, Anatoly Zlotnik
We develop an explicit second order staggered finite difference discretization scheme for simulating the transport of highly heterogeneous gas mixtures through pipeline networks. T…
Towards learning Lattice Boltzmann collision operators
Alessandro Corbetta, Alessandro Gabbana, Vitaliy Gyrya +3
In this work we explore the possibility of learning from data collision operators for the Lattice Boltzmann Method using a deep learning approach. We compare a hierarchy of designs…
Stochastic Finite Volume Method for Uncertainty Quantification of Transient Flow in Gas Pipeline Networks
Svetlana Tokareva, Anatoly Zlotnik, Vitaliy Gyrya
We develop a weakly intrusive framework to simulate the propagation of uncertainty in solutions of generic hyperbolic partial differential equation systems on graph-connected domai…
Numerical Solution of the Steady-State Network Flow Equations for a Non-Ideal Gas
Shriram Srinivasan, Kaarthik Sundar, Vitaliy Gyrya +1
We formulate a steady-state network flow problem for non-ideal gas that relates injection rates and nodal pressures in the network to flows in pipes. For this problem, we present a…
The virtual element method for the coupled system of magneto-hydrodynamics
Sebastian Naranjo-Alvarez, Vrushali Bokil, Vitaliy Gyrya +1
In this work, we review the framework of the Virtual Element Method (VEM) for a model in magneto-hydrodynamics (MHD), that incorporates a coupling between electromagnetics and flui…