Accurate dissipative forces in optimization integrators
Accurate dissipative forces in optimization integrators
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DOI：
10.1145/3272127.3275011
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发表时间：
2018-12
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影响因子：
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通讯作者：
George E. Brown;Matthew Overby;Zahra Forootaninia;Rahul Narain
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文献类型：
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作者：
George E. Brown;Matthew Overby;Zahra Forootaninia;Rahul Narain
我们提出了一种方法，用于准确地模拟耗散力的变形体时，使用基于优化的积分。我们代表这样的力量使用耗散功能，这可能是非线性的位置和速度，使我们能够模拟一系列的耗散效应，包括库仑摩擦，瑞利阻尼，幂律耗散。我们提出了一个一般的方法，将耗散力的优化为基础的时间积分计划，迄今已几乎完全适用于只有保守力的系统。为了提高精度和最大限度地减少人为阻尼，我们提供了一个基于优化的版本的二阶精确TR-BDF2积分器。最后，我们提出了一种修改任意耗散函数，以保持线动量和角动量的方法，使我们能够消除人为的瑞利阻尼所造成的角动量损失。
We propose a method for accurately simulating dissipative forces in deformable bodies when using optimization-based integrators. We represent such forces using dissipation functions which may be nonlinear in both positions and velocities, enabling us to model a range of dissipative effects including Coulomb friction, Rayleigh damping, and power-law dissipation. We propose a general method for incorporating dissipative forces into optimization-based time integration schemes, which hitherto have been applied almost exclusively to systems with only conservative forces. To improve accuracy and minimize artificial damping, we provide an optimization-based version of the second-order accurate TR-BDF2 integrator. Finally, we present a method for modifying arbitrary dissipation functions to conserve linear and angular momentum, allowing us to eliminate the artificial angular momentum loss caused by Rayleigh damping.