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In recent decades, the field of computational fluid dynamics has made significant advances in enabling advanced computing architectures to understand many phenomena in biological, geophysical, and engineering fluid flows. Almost all research areas in fluids use numerical methods at various complexities: from molecular to continuum descriptions; from laminar to turbulent regimes; from low speed to hypersonic, from stencil-based computations to meshless approaches; from local basis functions to global expansions, as well as from first-order approximation to high-order with spectral accuracy. Many successful efforts have been put forth in dynamic adaptation strategies, e.g., adaptive mesh refinement and multiresolution representation approaches. Furthermore, with recent advances in artificial intelligence and heterogeneous computing, the broader fluids community has gained the momentum to revisit and investigate such practices. This Special Issue, containing a collection of 13 papers, brings together researchers to address recent numerical advances in fluid mechanics.

fluid–structure interaction --- monolithic method --- Updated Lagrangian --- Arbitrary Lagrangian Eulerian --- computational aerodynamics --- Kutta condition --- compressible flow --- stream function --- non-linear Schrödinger equation --- cubic B-spline basis functions --- Galerkin method --- pressure tunnel --- hydraulic fracturing --- transient flow --- finite element method (FEM) --- Abaqus Finite Element Analysis (FEA) --- computational fluid dynamics --- RANS closures --- uncertainty quantification --- Reynolds stress tensor --- backward-facing step --- OpenFOAM --- large eddy simulations (LES) --- shock capturing --- adaptive filter --- explicit filtering --- jet --- proper orthogonal decomposition --- coherent structures --- turbulence --- vector flow fields --- PIV --- buildings --- urban area --- pollution dispersion --- Large Eddy Simulation (LES) --- multiple drop impact --- computational fluid dynamics (CFD) simulation --- volume-of-fluid --- crater dimensions --- vorticity --- transient incompressible Navier-Stokes --- meshless point collocation method --- stream function-vorticity formulation --- strong form --- explicit time integration --- wall layer model --- LES --- separated flow --- body fitted --- immersed boundary --- reduced order modeling --- Kolmogorov n-width --- Galerkin projection --- turbulent flows --- reduced order model --- closure model --- variational multiscale method --- deep residual neural network --- internal combustion engines --- liquid-cooling system --- heat transfer --- n/a --- fluid-structure interaction --- non-linear Schrödinger equation