FEM SIMULATION OF BELOW GROUND PROCESSES ON A 3-DIMENSIONAL ROOT SYSTEM GEOMETRY USING DISTMESH AND COMSOL MULTIPHYSICS
FEM SIMULATION OF BELOW GROUND PROCESSES ON A 3-DIMENSIONAL ROOT SYSTEM GEOMETRY USING DISTMESH AND COMSOL MULTIPHYSICS
复制标题
使用 Distmesh 和 COMSOL Multiphysics 对 3 维根系几何形状的地下过程进行有限元模拟
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
D. Leitner
中科院分区：
文献类型：
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作者：
Andrea Schnepfand;D. Leitner
了解潜在的地下过程和植物-土壤相互作用的动力学在农业或植物补救等领域具有重大意义。然而，单个植物根系对整个植物根系系统对土壤的整体影响的贡献，反之亦然，很难评估，目前正在开发使用不同放大方法的数学模型。本文提出了一种在三维根系几何条件下建立植物与土壤相互作用模型的数值方法。它基于根系的L系统表示，用于网格化几何形状的Matlab算法DistMesh和用于求解根表面具有线性和非线性通量边界条件的扩散方程的有限元求解器COMSOL Multiphysics。虽然计算限制是预期的根分支结构的复杂性方面，我们建议，这种方法是有用的，通过比较有效的解决方案，明确的三维解决方案的结果，用于评估不同的均匀化和平均方法。
Understanding the underlying below-ground processes and the dynamics of plant- soil interactions is of major importance in areas such as agriculture or phytoremediation. The contribution of individual plant roots to the overall effect of a whole plant root system on the soil and vice-versa is however difficultto assess and mathematical models using different upscaling methods are currently developed. This paper presents a numerical approach for plant and soil interaction models on a 3-dimensional root system geometry. It is based on L-system representations of root systems, the Matlab algorithm DistMesh for meshing the geometry and the finite element solver COMSOL Multiphysics for solving the diffusion equation with both linear and nonlinear flux boundary conditions at the root surfaces. Although computational limits are to be expected with regard to the complexity of the root branching structure, we propose that this approach is useful for evaluating different homogenisation and averaging methods by comparing effective solutions to the results of the explicit 3-dimensional solution.