Vlasov-Poisson方程半拉格朗日守恒算法

A Semi-Lagrangian Conservative Scheme for Vlasov Equation

利用三阶迎风插值多项式结合限制子方法,构造Vlasov-Poisson方程的半拉格朗日守恒型格式,可保持Vlasov-Poisson方程解的正性.计算朗道阻尼,双束不稳定性等典型问题,并与样条插值方法、UGKS方法进行比较,模拟结果表明半拉格朗日守恒性格式在Vlasov-Poisson方程求解中具有较高分辨率.

We give a semi-Lagrangian scheme for Vlasov-Poisson equation using third order upwind interpolation polynomial with limiter.The scheme is conservative and keeps solution positive.We use the scheme to compute typical examples that include Landau damping,two stream instability and symmetric two stream instability.These simulations are compared with other numerical results.In conclusion,the conservative scheme works well in solving Vlasov-Poisson equation.