The two-layer computer simulators are commonly used to mimic multi-physics phenomena or systems. Usually, the outputs of the first-layer simulator (also called the inner simulator) are partial inputs of the second-layer simulator (also called the outer simulator). How to design experiments by considering the space-filling properties of inner and outer simulators simultaneously is a significant challenge that has received scant attention in the literature. To address this problem, we propose a new sequential optimal Latin hypercube design (LHD) by using the maximin integrating mixed distance criterion. A corresponding sequential algorithm for efficiently generating such designs is also developed. Numerical simulation results show that the new method can effectively improve the space-filling property of the outer computer inputs. The case study about composite structures assembly simulation demonstrates that the proposed method can outperform the benchmark methods.

翻译：两层计算机模拟器常用于模拟多物理场现象或系统。通常，第一层模拟器（又称内层模拟器）的输出是第二层模拟器（又称外层模拟器）的部分输入。如何同时兼顾内层与外层模拟器的空间填充特性来设计实验，是文献中极少关注的重要挑战。针对该问题，我们提出一种基于最大化最小积分混合距离准则的新型序贯最优拉丁超立方设计（LHD），并开发了相应的序贯算法以高效生成此类设计。数值模拟结果表明，该方法能有效改善外层计算机输入的空间填充性能。复合材料结构装配模拟的案例研究表明，所提方法优于基准方法。