Two approaches to the calculation of air subdomains: theoretical estimation and practical results

Abstract

Two approaches to the calculation of air subdomains are compared in this paper, i.e. the use of imaginary points and explicit allocation. They are completely mathematically equivalent to each other, but there is a difference in their complexity of implementation, complexity of parallelization and computational resources needed for performing calculations and their applications. The explicit allocation of air subdomains requires a lot of separated grids, the use of imaginary points requires more memory and calculation time. It is of interest to estimate how important the contribution of interfaces between the grids is. Usually, estimates of the memory and time costs are calculated based on the geometric characteristics of the model under consideration. In this paper, the corresponding formulas are presented for the case of full wave simulation of the impact of seismic waves on a multi-storey building. The question under consideration was whether theoretical estimates of this type are valid. In order to do this we consider 7 building types, i.e. an underground shelter, a barn, barracks, a summer cottage, a residential building of an old building type, a residential building of a new building type, and a skyscraper. We use a solid-state drive memory device. The results of the studies can also be extrapolated to the case of direct problems in geophysics to describe, for example, a geological medium containing gas-saturated pores or karst areas.