In this paper, we establish a mathematical model of the forest fire spread process based on a partial differential equation. We describe the distribution of time field and velocity field in the whole two-dimensional s...In this paper, we establish a mathematical model of the forest fire spread process based on a partial differential equation. We describe the distribution of time field and velocity field in the whole two-dimensional space by vector field theory. And we obtain a continuous algorithm to predict the dynamic behavior of forest fire spread in a short time. We use the algorithm to interpolate the fire boundary by cubic non-uniform rational B-spline closed curve. The fire boundary curve at any time can be simulated by solving the Eikonal equation. The model is tested in theory and in practice. The results show that the model has good accuracy and stability, and it’s compatible with most of the existing models, such as the elliptic model and the cellular automata model.展开更多
Mathematical model of forest fire was based on an analysis of known experimental data and using concept and methods from reactive media mechanics. In this paper the assignment and theoretical investigations of the pro...Mathematical model of forest fire was based on an analysis of known experimental data and using concept and methods from reactive media mechanics. In this paper the assignment and theoretical investigations of the problems of crown forest fire spread in windy condition were carried out. In this context, a study—mathematical modeling—of the conditions of forest fire spreading that would make it possible to obtain a detailed picture of the change in the temperature and component concentration fields with time, and determine as well as the limiting condition of fire propagation in forest with fire break.展开更多
风场是影响林火蔓延行为最关键的因素之一。许多林火发生在地形复杂多变的山区,会产生复杂的局部风场。为探究动态风场对林火蔓延预测的影响,以“3·30”西昌泸山森林火灾为研究对象,利用WRF(weather research and forecasting)模...风场是影响林火蔓延行为最关键的因素之一。许多林火发生在地形复杂多变的山区,会产生复杂的局部风场。为探究动态风场对林火蔓延预测的影响,以“3·30”西昌泸山森林火灾为研究对象,利用WRF(weather research and forecasting)模式模拟动态风场,并与林火蔓延模型耦合。分别将模拟风场和均一风场分别输入林火蔓延模型,基于林火蔓延过程中实际火场范围数据,分析动态风场对林火蔓延模型预测结果的影响。结果表明,耦合WRF模式和林火蔓延模型考虑了分辨率更高、且更为准确的局部风场,能够实现对森林火灾蔓延的动态模拟。预测得到的火场范围和均一风场相比,与实际范围具有更高的相似度。展开更多
文摘In this paper, we establish a mathematical model of the forest fire spread process based on a partial differential equation. We describe the distribution of time field and velocity field in the whole two-dimensional space by vector field theory. And we obtain a continuous algorithm to predict the dynamic behavior of forest fire spread in a short time. We use the algorithm to interpolate the fire boundary by cubic non-uniform rational B-spline closed curve. The fire boundary curve at any time can be simulated by solving the Eikonal equation. The model is tested in theory and in practice. The results show that the model has good accuracy and stability, and it’s compatible with most of the existing models, such as the elliptic model and the cellular automata model.
文摘Mathematical model of forest fire was based on an analysis of known experimental data and using concept and methods from reactive media mechanics. In this paper the assignment and theoretical investigations of the problems of crown forest fire spread in windy condition were carried out. In this context, a study—mathematical modeling—of the conditions of forest fire spreading that would make it possible to obtain a detailed picture of the change in the temperature and component concentration fields with time, and determine as well as the limiting condition of fire propagation in forest with fire break.
文摘风场是影响林火蔓延行为最关键的因素之一。许多林火发生在地形复杂多变的山区,会产生复杂的局部风场。为探究动态风场对林火蔓延预测的影响,以“3·30”西昌泸山森林火灾为研究对象,利用WRF(weather research and forecasting)模式模拟动态风场,并与林火蔓延模型耦合。分别将模拟风场和均一风场分别输入林火蔓延模型,基于林火蔓延过程中实际火场范围数据,分析动态风场对林火蔓延模型预测结果的影响。结果表明,耦合WRF模式和林火蔓延模型考虑了分辨率更高、且更为准确的局部风场,能够实现对森林火灾蔓延的动态模拟。预测得到的火场范围和均一风场相比,与实际范围具有更高的相似度。