Numerical methods for simulating biofilm models

EnviroSim Associates Ltd.(www.envirosim.com)开发和销售最先进的废水模型 和模拟软件。EnviroSim的旗舰产品BioWin在全球范围内用于设计、升级和 优化污水处理厂。全面的数学模型(如基础模型 BioWin的计算)对于模拟污水处理厂的行为必须占很大的比例 许多组分之间的反应次数。通常，这会产生一个大型稀疏系统，该系统由 非线性常微分方程组和非线性代数方程。 自2007年以来，模型的性质发生了变化，纳入了在 废水处理统称为生物膜系统。由于它们的性质和不断增大的大小，模拟 动态地，有了BioWin，这样的系统在计算上变得非常昂贵。例如，一种植物 模拟可能需要几天时间，这会延长项目时间表和预算。因为这个原因， EnviroSim至关重要的是需要一种高效的生物膜系统动态模拟技术。这样做的目的是 该项目的目的是开发一种快速、准确和可扩展的数值方法来模拟它们。 EnviroSim准备大举进军中国市场，并改进BioWin的模拟 生物膜系统的速度将帮助EnviroSim在这个重要的市场上获得竞争优势，进一步 加拿大作为一个促进环境技术发展的国家的声誉。BioWin被用作 加拿大工程师的设计工具，并保持其有效模拟这些新兴事物的能力 技术将鼓励在加拿大污水处理厂设计中使用它们，从而产生废水 在满足严格的排放限制方面更有效的处理厂，以及在 关于能源和资源使用的条款。

EnviroSim Associates Ltd. (www.envirosim.com) develops and markets leading edge wastewater modelling and simulation software. EnviroSim's flagship product, BioWin, is used worldwide to design, upgrade, and optimize wastewater treatment plants. A comprehensive mathematical model (such as the one underlying BioWin's calculations) for the simulation of wastewater treatment plant behaviour must account for a large number of reactions between many components. Typically, this results in a large, sparse system consisting of non-linear ordinary differential equations and non-linear algebraic equations. Since 2007, the nature of the models has changed to incorporate new technologies being employed in wastewater treatment known collectively as biofilm systems. Due to their nature and increasing size, simulating dynamically such systems is becoming computationally very expensive with BioWin. For example, a plant simulation could take several days, which leads to extended project schedules and budgets. For this reason, EnviroSim crucially requires a technology for efficient dynamic simulation of biofilm systems. The goal of this project is to develop a fast, accurate, and scalable numerical method for their simulation. EnviroSim is poised to make significant inroads to the Chinese market, and improving BioWin's simulation speed of biofilm systems will help EnviroSim gain a competitive advantage in this important market, furthering Canada's reputation as a country that fosters the growth of environmental technologies. BioWin is used as a design tool by Canadian engineers, and maintaining its ability to simulate efficiently these emerging technologies will encourage their use in Canadian wastewater treatment plant design, resulting in wastewater treatment plants that are more effective at meeting stringent effluent limits, and that do so more efficiently in terms of energy and resource use.