Simulating fluid dynamics on a quantum computer is intrinsically difficult due to the nonlinear
and non-Hamiltonian nature of the Navier-Stokes equation (NSE). We propose a framework …

Recent advancements of quantum technologies have triggered tremendous interest in
exploring practical quantum advantage. The simulation of fluid dynamics, a highly …

Quantum computational fluid dynamics (QCFD) offers a promising alternative to classical
computational fluid dynamics (CFD) by leveraging quantum algorithms for higher efficiency …

Variational quantum algorithms offer a promising new paradigm for solving partial
differential equations on near-term quantum computers. Here, we propose a variational …

Computational fluid dynamics (CFD) is a widely used tool for investigating fluid flows in
bioreactors. It has been used in the biopharmaceutical industry for years and has …

Recent advancements in quantum computing provide opportunities to address the
challenges of computational resource limitations in computational fluid dynamics (CFD) …

Ship design involves many calculations to provide a propulsion system with the appropriate
speed. Prioritizing speed-resistance calculations affects main engine, gearbox, propeller …

The radial basis function (RBF) method is widely used for the numerical solution of the
Poisson problem in high dimension, where the approximate solution can be found by …

Solving a quadratic nonlinear system of equations (QNSE) is a fundamental, but important,
task in nonlinear science. We propose an efficient quantum algorithm for solving n …

The accurate and efficient simulation of ocean circulation is a fundamental topic in marine
science; however, it is also a well-known and dauntingly difficult problem that requires …