scholarly journals APPLICATION OF IMMERSED BOUNDARY METHOD TO NUMERICAL SOLUTION OF HEAT AND SCALAR TRANSPORT EQUATIONS

2012 ◽  
Vol 68 (4) ◽  
pp. I_1237-I_1242
Author(s):  
MASANOBU SENSHUU ◽  
AKIHIKO NAKAYAMA
Keyword(s):  
Numerical Solution ◽  
Immersed Boundary Method ◽  
Transport Equations ◽  
Scalar Transport ◽  
Immersed Boundary ◽  
Boundary Method

Coupled Simulation of Oscillatory Flow, Sediment Transport and Morphology Evolution of Ripples Based on the Immersed Boundary Method

2014 ◽  
Author(s):  
Georgios A. Leftheriotis ◽  
Athanassios A. Dimas
Keyword(s):  
Sediment Transport ◽  
Numerical Solution ◽  
Suspended Sediment ◽  
Immersed Boundary Method ◽  
Oscillatory Flow ◽  
Orbital Motion ◽  
Immersed Boundary ◽  
Morphology Evolution ◽  
Boundary Method ◽  
Motion Amplitude

In the present study, numerical simulations of oscillatory flow over a rippled bottom, coupled with bed and suspended sediment transport, as well as the resulting morphology evolution, are performed. The simulations are based on the numerical solution of the Navier-Stokes equations and the advection-diffusion equation for the suspended load, while empirical formulas are used for the bed load. The bed morphological evolution is obtained by the numerical solution of the conservation of sediment mass equation. A fractional time-step scheme is used for the temporal discretization, while finite differences are used for the spatial discretization on a Cartesian grid. The Immersed Boundary method is implemented for the imposition of fluid and sediment boundary conditions on the ripple surface. Two types of ripples are examined, i.e., ripples of parabolic shape with sharp crests and sinusoidal ripples, and cases of ripple length to orbital motion amplitude ratio of 1.6 and ripple height to orbital motion amplitude ratios of 0.16, 0.20 and 0.24, at Reynolds number equal to 5×103. The effect of ripple steepness and ripple shape on suspended sediment and ripple migration is discussed.

A three-dimensional immersed boundary method based on an algebraic forcing-point-searching scheme for water impact problems

2021 ◽  
Vol 233 ◽  
pp. 109189
Author(s):  
Bin Yan ◽  
Wei Bai ◽  
Sheng-Chao Jiang ◽  
Peiwen Cong ◽  
Dezhi Ning ◽  
...  
Keyword(s):  
Immersed Boundary Method ◽  
Three Dimensional ◽  
Immersed Boundary ◽  
Water Impact ◽  
Boundary Method ◽  
Impact Problems
Sign in / Sign up

Export Citation Format

Share Document