Live briefing
Everything about Stokes stream function
Function in fluid dynamics
In fluid dynamics, the Stokes stream function is used to describe the streamlines and flow velocity in a three-dimensional incompressible flow with axisymmetry. A surface with a constant value of the Stokes stream function encloses a streamtube, everywhere tangential to the flow velocity vectors. Further, the volume flux within this streamtube is constant, and all the streamlines of the flow are located on this surface. The velocity field associated with the Stokes stream function is solenoidal—it has zero divergence. This stream function is named in honor of George Gabriel Stokes. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Stokes stream functionA 5-minute orientation
- Skim a recent paper: A POD-Galerkin reduced order model for the Navier–Stokes equations in stream function-vorticity formulationInfluential work since 2022
- Pick up a classic book: Finite element techniques for the Navier-Stokes equations in the primitive variable formulation and the vorticity stream-function formulationThe most-reprinted book on the subject
- Read the landmark paper: On the stream function‐vorticity finite element solutions of Navier‐Stokes equationsCited 60 times
- Go sideways: Oseen equationsA closely related topic
- Go sideways: Stream functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
On the stream function‐vorticity finite element solutions of Navier‐Stokes equations
Vorticity–velocity-pressure and stream function-vorticity formulations for the Stokes problem
Stream function formulation of surface Stokes equations
Stokes eigenmodes in square domain and the stream function–vorticity correlation
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations
Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation
A novel homotopy-wavelet approach for solving stream function-vorticity formulation of Navier–Stokes equations
Finite element stream function‐vorticity solutions of the incompressible Navier‐Stokes equations
🆕 Influential since 2022
A POD-Galerkin reduced order model for the Navier–Stokes equations in stream function-vorticity formulation
A meshless generalized finite difference scheme for the stream function formulation of the Naiver-Stokes equations
Novel hybrid compact schemes for stream function–velocity formulation of the incompressible Navier–Stokes equations
The Morley-type virtual element method for the Navier–Stokes equations in stream-function form
A C0 interior penalty method for the stream function formulation of the surface Stokes problem
📚 Books worth reading
- 📕Finite element techniques for the Navier-Stokes equations in the primitive variable formulation and the vorticity stream-function formulationF Glaisner · 1987
Computation of three-dimensional flows using two stream functionsMahesh S. Greywall · 1991- 📕Understanding fluid flowM. G. Worster · 2009
Fluid Mechanics and the Theory of FlightR. S. Johnson · 2013
Fluid Mechanics and the Theory of FlightR. S. Johnson · 2013
Fluid Mechanics and the Theory of FlightR. S. Johnson · 2013
Fluid Mechanics and the Theory of FlightR. S. Johnson · 2013
Fluid Mechanics and the Theory of FlightR. S. Johnson · 2013
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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