5 papers
Reduced basis algorithm for solving nonlinear differential equations on quantum computers
Monica LÄcÄtuÅ, Matthias Möller, Sauro Succi
As quantum computing moves toward scientific computing applications, nonlinear differential equations remain a central challenge since quantum evolution is intrinsically linear. In…
Schrödinger-Navier-Stokes Equation for the Quantum Simulation of Navier-Stokes Flows
Luca Cappelli, Sauro Succi, Monica Lacatus +2
The search for quantum-like wave formulations of the Navier-Stokes (Schrödinger-Navier-Stokes, SNS for short) equations describing classical dissipative fluids has met with increa…
Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator
Monica LÄcÄtuÅ, Matthias Möller
This study introduces a framework for learning a low-depth surrogate quantum circuit (SQC) that approximates the nonlinear, dissipative, and hence non-unitary Bhatnagar-Gross-Krook…
IGA-LBM: Isogeometric lattice Boltzmann method
Ye Ji, Monica Lacatus, Monica LÄcÄtuÅ +1
The lattice Boltzmann method (LBM) offers intrinsic parallelism and simple boundary treatment, but Cartesian lattices approximate curved boundaries by stair steps, causing spurious…
Data-Driven RANS Closures Using a Relative Importance Term Analysis Based Classifier for 2D and 3D Separated Flows
Tyler Buchanan, Monica LÄcÄtuÅ, Alastair West +1
This study presents a novel approach for enhancing Reynolds-averaged Navier-Stokes (RANS) turbulence modeling through the application of a Relative Importance Term Analysis (RITA)…