This paper introduces a new method for performing field transfer operations in black-box coupling, when source discretization information is not available. This approach uses a stochastic approximation of the Galerkin projection which leads to a method that asymptotically provides conservation. Error in the accuracy and conservation has been compared to the mesh intersection method and radial basis functions on a simple domain, as well as on meshes of the LTX fusion reactor. For all cases tested, our new method provides higher accuracy and less conservation error than radial basis functions and can be used for black-box coupling, unlike the mesh-intersection method. Additionally, we demonstrate the implementation and performance of our method on an NVIDIA A100 GPU, showing that the cost is competitive with the mesh intersection method.

翻译：本文提出了一种在黑箱耦合中执行场传递操作的新方法，适用于源离散化信息不可用的情况。该方法采用伽辽金投影的随机近似，从而形成一种渐近保证守恒性的方法。我们在简单区域以及LTX聚变反应堆的网格上，将本方法在精度和守恒性方面的误差与网格相交法及径向基函数进行了比较。在所有测试案例中，与径向基函数相比，我们的新方法具有更高的精度和更小的守恒误差，并且与网格相交法不同，它能够用于黑箱耦合。此外，我们在NVIDIA A100 GPU上展示了本方法的实现与性能，结果表明其计算成本与网格相交法具有竞争力。