TY - JOUR
T1 - Accurate discretization of advection-diffusion equations
AU - Grima, R.
AU - Newman, T. J.
PY - 2004/9/16
Y1 - 2004/9/16
N2 - We present an exact mathematical transformation which converts a wide class of advection-diffusion equations into a form allowing simple and direct spatial discretization in all dimensions, and thus the construction of accurate and more efficient numerical algorithms. These discretized forms can also be viewed as master equations which provide an alternative mesoscopic interpretation of advection-diffusion processes in terms of diffusion with spatially varying hopping rates.
AB - We present an exact mathematical transformation which converts a wide class of advection-diffusion equations into a form allowing simple and direct spatial discretization in all dimensions, and thus the construction of accurate and more efficient numerical algorithms. These discretized forms can also be viewed as master equations which provide an alternative mesoscopic interpretation of advection-diffusion processes in terms of diffusion with spatially varying hopping rates.
UR - http://www.scopus.com/inward/record.url?scp=42749101785&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.70.036703
DO - 10.1103/PhysRevE.70.036703
M3 - Article
C2 - 15524671
AN - SCOPUS:42749101785
SN - 1539-3755
VL - 70
JO - Physical Review E: Statistical, nonlinear, and soft matter physics
JF - Physical Review E: Statistical, nonlinear, and soft matter physics
IS - 3
M1 - 036703
ER -