4 papers
Symplectic Model Order Reduction with Non-Orthonormal Bases
Patrick Buchfink, Ashish Bhatt, Bernard Haasdonk
Parametric high-fidelity simulations are of interest for a wide range of applications. But the restriction of computational resources renders such models to be inapplicable in a re…
Exponential Integrators Preserving Local Conservation Laws of PDEs with Time-Dependent Damping/Driving Forces
Ashish Bhatt, Brian E. Moore
Structure-preserving algorithms for solving conservative PDEs with added linear dissipation are generalized to systems with time-dependent damping/driving terms. This study is moti…
Symplectic Model-Reduction with a Weighted Inner Product
Babak Maboudi Afkham, Ashish Bhatt, Bernard Haasdonk +1
In the recent years, considerable attention has been paid to preserving structures and invariants in reduced basis methods, in order to enhance the stability and robustness of the…
Chaos in a non-autonomous nonlinear system describing asymmetric water wheels
Ashish Bhatt, Robert A. Van Gorder
We use physical principles to derive a water wheel model under the assumption of an asymmetric water wheel for which the water inflow rate is in general unsteady (modeled by an arb…