Mathematical Sciences: Development of an Advanced Numerical Method for Modeling Thermal Ink Jet Devices

小行星9626153 该研究项目致力于开发和实施有效的数值方法，用于模拟热喷墨中的流体流动。 这种流动是多维的，其特征在于高热梯度、多相、界面和自由边界。 该项目得到GOALI倡议的支持，是加州大学戴维斯分校和施乐公司的调查人员之间的合作，其特点是联合指导一名博士后研究人员。 该项目的一个目标是开发可靠和有效的软件来模拟流体问题，并根据物理实验验证数值方法和软件。 这个项目是关于开发先进的计算方法来模拟热喷墨中的流体流动，并将这些方法纳入软件中。 当喷墨墨盒中的墨水被加热以将字符喷射到纸张上时，这些流动就会出现。 加热的墨水（液体）形成蒸汽泡（气体），将墨水喷射到纸上。 在这个过程中，气泡的形成，它在周围墨水中的生长，以及它迫使墨水从墨盒中出来的方式都是真正的三维现象。 它们涉及热特性（墨水被加热形成气泡），多相流（液体和气体）和自由边界（气泡在墨水中生长，以及墨水液滴被迫离开墨盒）。 这些特征本身就很难。 为了验证它们的组合是准确建模的，研究人员将计算结果与实验进行了比较。 该项目由研究人员E.加州大学戴维斯分校的格里·帕克特和施乐威尔逊研究中心的约翰·安德鲁斯共同指导了一位博士后研究人员。 这提供了研究和教育的紧密结合，在工业和学术环境的结合，提供了初级数学科学家在设计，开发和应用sop histicated数值方法的高级培训，以解决科学和工业中出现的问题。 这种一体化是支持该项目的GOALI倡议的一个关键特征。

9626153 Puckett This research project undertakes to develop and implement effective numerical methods for modeling fluid flows in thermal inkjets. Such a flow is multidimensional and is characterized by high thermal gradients, multiple phases, and interfaces and free boundaries. The project, supported under the GOALI initiative, is a collaboration between investigators at the University of California--Davis and Xerox and features joint mentoring of a postdoctoral researcher. A goal of the project is to develop reliable and effective software to model the fluid problems and to validate the numerical methods and software against physical experiments. This project is concerned with developing advanced computational methods for modeling fluid flows in thermal inkjets, and incorporating the methods in software. These flows arise when the ink in an inkjet cartridge is heated to spray characters onto paper. The heated ink (a liquid) forms a vapor bubble (a gas) that shoots the ink onto the paper. In this process, the formation of the bubble, its growth in the surrounding ink, and the way this forces ink out of the cartridge are genuinely three-dimensional phenomena. They involve thermal properties (where the ink is heated to form a bubble), multiphase flow (liquid and gas), and free boundaries (where the bubble grows in the ink, and where a droplet of ink is forced out of the cartridge). These features are difficult by themselves. To verify that their combination is modeled accurately, the investigators compare the computational results against experiments. The project is performed by researchers E. Gerry Puckett at UC--Davis and John Andrews at Xerox's Wilson Research Center, who jointly mentor a postdoctoral researcher. This provides a close integration of research and education in a combination of industrial and academic environments that provides a junior mathematical scientist advanced training in the design, development, and application of sop histicated numerical methods to problems that arise in science and industry. Such integration is a key feature of the GOALI initiative, which supports the project.