A time-consistent stabilized finite element method for fluids with applications to hemodynamics by Dongjie Jia, Mahdi Esmaily

“…Abstract Several finite element methods for simulating incompressible flows rely on the streamline upwind Petrov–Galerkin stabilization (SUPG) term, which is weighted by $$\tau _{\text{SUPG}}$$ τ SUPG . …”
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Fluid mechanics in fluids at rest by Brenner, Howard

“…Rather, tracer-velocity equality holds only for incompressible flows. For compressible fluids, each type of tracer is shown to monitor a fundamentally different fluid velocity, with (i) a dye (or any other such molecular-tagging scheme) measuring the fluid's mass velocity v appearing in the continuity equation and (ii) a small, physicochemically and thermally inert, macroscopic (i.e., non-Brownian), solid particle measuring the fluid's volume velocity v[subscript v]. …”
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Proposal of a critical test of the Navier-Stokes-Fourier paradigm for compressible fluid continua by Brenner, Howard

“…Independently of the correctness of the bivelocity model, any temperature difference observed during the proposed experiment or simulation, irrespective of magnitude, would preclude the possibility of the NSF paradigm being correct for fluid continua, except for incompressible flows.…”
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ESTUDIO COMPARATIVO DE MODELOS NUMÉRICOS PARA EL SEGUIMIENTO DE INTERFACES MÓVILES: ESTUDIO DEL DERRAME DE UNA COLUMNA DE LÍQUIDO COMPARATIVE STUDY OF NUMERICAL MODELS FOR MOVING I... by Juan Pablo Barraza, Marcela Andrea Cruchaga

“…The adopted mathematical model is given by the Navier-Stokes equations for incompressible flows. These equations are solved in the whole domain occupied by both fluids (liquid and air) together with the interface motion equation. …”
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Energy transfer and vortex structures: visualizing the incompressible turbulent energy cascade by Ryan McKeown, Alain Pumir, Shmuel M Rubinstein, Michael P Brenner, Rodolfo Ostilla-Mónico

“…Here, we focus on incompressible flows and compare the energy transfer occurring in a statistically steady homogeneous isotropic turbulent (HIT) flow with the generation of fine-scale motions in configurations involving vortex tubes. …”
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A Massively Parallel Hybrid Finite Volume/Finite Element Scheme for Computational Fluid Dynamics by Laura Río-Martín, Saray Busto, Michael Dumbser

“…To show the versatility of the proposed schemes, we present a wide range of applications, starting from environmental and geophysical flows, such as dambreak problems and natural convection, over direct numerical simulations of turbulent incompressible flows to high Mach number compressible flows with shock waves. …”
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Numerical study of impeller-driven von Kármán flows via a volume penalization method by S Kreuzahler, D Schulz, H Homann, Y Ponty, R Grauer

“…The studies cover a broad range of physical systems including incompressible flows, especially water and air, magnetohydrodynamic systems using liquid metal for understanding the important topic of the dynamo instability, particle tracking to study Lagrangian type turbulence and recently quantum turbulence in super-fluid helium. …”
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Hybrid atomistic-continuum formulations for gaseous flows by Wijesinghe, Hettithanthrige Sanith, 1974-

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