Abstract
In multiphase systems, boundary layers occur at fluid-fluid or fluid-solid interfaces. In a direct numerical simulation, the grid requirements are often dictated by the thickness of these boundary layers. Systems that are characterized by high Prandtl (or Schmidt number) exhibit temperature (or mass) boundary layers that are much thinner than the momentum boundary layers. In this paper, a hybrid computational approach is presented that uses a fixed Cartesian grid for the Navier-Stokes and continuity equations and an adaptive mesh for scalar transport, thus reducing the memory and CPU requirements tremendously while resolving all boundary layers. We describe the key aspects that need to be addressed in this hybrid approach, related to discretization, grid mapping, velocity interpolation along with detailed verification tests. Finally, the robustness and accuracy of our hybrid methodology is demonstrated for forced-convection heat transfer over stationary spherical particles at high Prandtl numbers.
| Original language | English |
|---|---|
| Article number | 100047 |
| Number of pages | 18 |
| Journal | Chemical Engineering Science: X |
| Volume | 4 |
| DOIs | |
| Publication status | Published - 1 Nov 2019 |
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Keywords
- Adaptive mesh refinement
- Boundary layers
- High Prandtl number
- High Schmidt number
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Fully resolved scalar transport for high Prandtl number flows using adaptive mesh refinement. / Panda, A.; Peters, E.A.J.F. (Corresponding author); Baltussen, M.W.; Kuipers, J.A.M.
In: Chemical Engineering Science: X, Vol. 4, 100047, 01.11.2019.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Fully resolved scalar transport for high Prandtl number flows using adaptive mesh refinement
AU - Panda, A.
AU - Peters, E.A.J.F.
AU - Baltussen, M.W.
AU - Kuipers, J.A.M.
PY - 2019/11/1
Y1 - 2019/11/1
N2 - In multiphase systems, boundary layers occur at fluid-fluid or fluid-solid interfaces. In a direct numerical simulation, the grid requirements are often dictated by the thickness of these boundary layers. Systems that are characterized by high Prandtl (or Schmidt number) exhibit temperature (or mass) boundary layers that are much thinner than the momentum boundary layers. In this paper, a hybrid computational approach is presented that uses a fixed Cartesian grid for the Navier-Stokes and continuity equations and an adaptive mesh for scalar transport, thus reducing the memory and CPU requirements tremendously while resolving all boundary layers. We describe the key aspects that need to be addressed in this hybrid approach, related to discretization, grid mapping, velocity interpolation along with detailed verification tests. Finally, the robustness and accuracy of our hybrid methodology is demonstrated for forced-convection heat transfer over stationary spherical particles at high Prandtl numbers.
AB - In multiphase systems, boundary layers occur at fluid-fluid or fluid-solid interfaces. In a direct numerical simulation, the grid requirements are often dictated by the thickness of these boundary layers. Systems that are characterized by high Prandtl (or Schmidt number) exhibit temperature (or mass) boundary layers that are much thinner than the momentum boundary layers. In this paper, a hybrid computational approach is presented that uses a fixed Cartesian grid for the Navier-Stokes and continuity equations and an adaptive mesh for scalar transport, thus reducing the memory and CPU requirements tremendously while resolving all boundary layers. We describe the key aspects that need to be addressed in this hybrid approach, related to discretization, grid mapping, velocity interpolation along with detailed verification tests. Finally, the robustness and accuracy of our hybrid methodology is demonstrated for forced-convection heat transfer over stationary spherical particles at high Prandtl numbers.
KW - Adaptive mesh refinement
KW - Boundary layers
KW - High Prandtl number
KW - High Schmidt number
UR - http://www.scopus.com/inward/record.url?scp=85074092012&partnerID=8YFLogxK
U2 - 10.1016/j.cesx.2019.100047
DO - 10.1016/j.cesx.2019.100047
M3 - Article
AN - SCOPUS:85074092012
VL - 4
JO - Chemical Engineering Science: X
JF - Chemical Engineering Science: X
SN - 2590-1400
M1 - 100047
ER -