188 citations · 1.4k across the 48 of their papers we have counts for
4 papers · 1 filter
A new diagnostic for the relative accuracy of Euler codes
C. R. Doering, J. D. Gibbon, D. D. Holm
A procedure is suggested for testing the resolution and comparing the relative accuracy of numerical schemes for integration of the incompressible Euler equations.
Exponentially growing solutions in homogeneous Rayleigh-Benard convection
E. Calzavarini, C. R. Doering, J. D. Gibbon +3
It is shown that homogeneous Rayleigh-Benard flow, i.e., Rayleigh-Benard turbulence with periodic boundary conditions in all directions and a volume forcing of the temperature fiel…
Links between dissipation, intermittency, and helicity in the GOY model revisited
John C. Bowman, Charles R. Doering, Bruno Eckhardt +3
High-resolution simulations within the GOY shell model are used to study various scaling relations for turbulence. A power-law relation between the second-order intermittency corre…
Energy dissipation in body-forced plane shear flow
Charles R. Doering, Bruno Eckhardt, Joerg Schumacher
We study the problem of body-force driven shear flows in a plane channel of width l with free-slip boundaries. A mini-max variational problem for upper bounds on the bulk time aver…