A subzone reconstruction algorithm for efficient staggered compatible remapping

Abstract

h i g h l i g h t sA physical air-entraining method has been reported. The properties of high porosity cement-based foam materials have been investigated. Influence of water-cement ratio and HPMC on material properties has been analyzed. Pore structure formation mechanism has been clarified. a b s t r a c tHigh porosity cement-based foam materials were prepared through physical air-entraining method and the pore structure and the properties of materials were characterized. The results show that water-cement ratio and Hydroxypropyl Methyl Cellulose (HPMC) content have crucial influence on material properties. When the water-cement ratio was 0.9 and the content of HPMC was 0.4%, the cement-based foam material with the porosity of 94.33% and thermal conductivity value of 0.049 W/(m K) could be obtained. The formation mechanism of pore structure was analyzed that water-cement ratio and HPMC content affect the bubble film toughness which influence on material properties.

A multimaterial extension to subzonal reconstruction

“…First is a preprocessing stage; the post-remap total zone and node densities are modified to account for front steepening due to interface reconstruction and repaired, as in [16] to promote monotonicity. Second, a total subzonal mass density field is computed using the reconstruction algorithm detailed in [23]. The final stage assigns material concentrations to each subzone using material-dependent post-remap zone densities.…”

“…It was observed in [23] that the subzonal reconstruction procedure is sensitive to non-monotonicities among the post-remap nodal and zonal densities. For instance, if ρ n is significantly outside the bounds of ρ z for neighboring zones z(n), then the resulting subzonal reconstruction can be non-monotonic.…”

“…In [23], we outlined an algorithm for conservatively reconstructing subzonal information using staggered data at zones (primary mesh) and nodes (dual mesh). Because the number of subzonal elements in the mesh exceeds the total number of zone and node elements, reconstruction takes the form of a least-squares optimization procedure.…”

“…State variables are collocated to subzonal elements and remapped from subzones to subzones. We initially proposed the reconstruction algorithm in [23] to alleviate the expense of computing subzone-subzone intersections for each remap. The computational cost of an overlay remap scales with the number of element intersections.…”

“…The computational cost of an overlay remap scales with the number of element intersections. Timing data and scaling arguments in [23] indicate that staggered overlay remapping (i.e. computing zone-zone and node-node intersections) followed by subzonal reconstruction outperforms direct subzonal remapping in terms of computational efficiency for 2D polygonal meshes.…”