5 papers
An Approximate Bounded Cochain Projection
Marc Gerritsma, Suyash Shrestha
This paper presents a construction of a projector from an infinite-dimensional Hilbert complex of differential -forms onto a finite-dimensional piecewise polynomial sub-complex.…
Projection-Based Reconstruction for Achieving High-Order Accuracy from Low-Order DGSEM Simulations
Xukun Wang, Suyash Shrestha, Oscar A. Marino +1
High-order discontinuous Galerkin spectral element methods (DGSEM) based on Legendre-Gauss-Lobatto (LGL) nodes provide accurate and efficient discretizations for conservation laws.…
Optimal solutions employing an algebraic Variational Multiscale approach Part II: Application to Navier-Stokes
Suyash Shrestha, Marc Gerritsma, Gonzalo Rubio +2
This work presents a non-linear extension of the high-order discretisation framework based on the Variational Multiscale (VMS) method previously introduced for steady linear proble…
Optimal solutions employing an algebraic Variational Multiscale approach Part I: Steady Linear Problems
Suyash Shrestha, Marc Gerritsma, Gonzalo Rubio +2
This work extends our previous study from S. Shrestha et al. (2024) by introducing a new abstract framework for Variational Multiscale (VMS) methods at the discrete level. We intro…
Implementation of Immersed Boundaries via Volume Penalization in the Industrial Aeronautical Computational Fluid Dynamics Solver CODA
Jonatan Nunez, David Huergo, Diego Lodares +5
We present the implementation and validation of an immersed boundary volume penalization method in the computational fluid dynamics solver CODA (from ONERA, DLR, and Airbus). Our g…