Investigation of Efficiency of Grid Approximation for Isotropic Random Field of the Optical Density of Media

Key Points

• The research aims to develop a computationally efficient grid model for isotropic random fields to improve accuracy in stochastic transport problems.
• Developed a grid model to approximate isotropic random fields.
• Conducted test estimations on time asymptotics of mean particle flux in a multiplying random medium.
• The grid model achieves high accuracy for small correlation lengths in stochastic transport.
• Time asymptotics for mean particle flux were successfully estimated using the model.