Sentence examples for by solving a diffusion from inspiring English sources

It is possible to reduce computational costs by solving a diffusion problem in diffusive subdomains instead of the transport equation.

The key idea is to steepen the interface, independently of the underlying volume-fraction transport equation, by solving a diffusion equation with reverse time, i.e. an anti-diffusion equation, after each advection time step of the volume fraction.

We first extended the 243 clinically measured surface Smax values across the entire ventricular walls by solving a diffusion problem.

Spontaneous imbibition of water into oil-saturated porous chalk having a cylindrical shape with the top and bottom faces closed for fluid exchange was modeled by solving a diffusion-like equation with the assumption of constant capillary diffusivity coefficient (CDC).

This is done by solving a diffusion-free core flow problem, begin{array}rcl@ text{Step 2. Find},, mathbf{u}_{s},text{suchh that}&& textbf{e}_{r} cdot left(dot{mathbf{B}}^{o} - widehat{textbf{D}}_{text{dyn}} right) &=& - boldsymbol{nabla}_{h} cdot left(mathbf{u}_{s} widehat{B}_{r} right) text{at},, r=c, end{array} (13).

By solving a two-dimensional diffusion model together with a specially arranged RTD measurements, the local liquid velocities and eddy diffusion coefficients in the longitudinal (main flow) and transverse (perpendicular to main flow) directions are estimated by the method of time domain least squares.

Structural shapes are represented by the phase field function defined in the design domain, and this function is optimized by solving a time-dependent reaction diffusion equation.

Structural shapes are represented by the phase field function defined in the design domain, and optimization of this function is performed by solving a time-dependent reaction diffusion equation.

In this work, a time-dependent postexposure bake (PEB) simulator is presented by solving a set of reaction diffusion equations modeling the deprotection reaction of polymers and the diffusion of acids in chemically amplified resists.

The images reconstructed using the anisotropic diffusion prior with anatomical prior show superior quality than those reconstructed by solving a simpler linear problem using Tikhonov regularisation.

We also test the scalability of JACEP2P-V2 and its compatibility with various kinds of problems by solving a large instance of the 3D advection diffusion problem using more than 1000 cores and by solving the NAS parallel benchmark (GC).