6533b858fe1ef96bd12b642a
RESEARCH PRODUCT
A marching-on in time meshless kernel based solver for full-wave electromagnetic simulation
Guido AlaElisa Francomanosubject
Alternating directions implicit scheme · Finite difference time domain · Meshless methods · Electromagnetic transient analysisRegularized meshless methodElectromagneticsApplied MathematicsNumerical analysisMathematical analysisFinite-difference time-domain methodSolverSettore ING-IND/31 - ElettrotecnicaSettore MAT/08 - Analisi NumericaKernel (image processing)Meshfree methodsApplied mathematicsTime domainMathematicsdescription
A meshless particle method based on an unconditionally stable time domain numerical scheme, oriented to electromagnetic transient simulations, is presented. The proposed scheme improves the smoothed particle electromagnetics method, already developed by the authors. The time stepping is approached by using the alternating directions implicit finite difference scheme, in a leapfrog way. The proposed formulation is used in order to efficiently overcome the stability relation constraint of explicit schemes. In fact, due to this constraint, large time steps cannot be used with small space steps and vice-versa. The same stability relation holds when the meshless formulation is applied together with an explicit finite difference scheme accounted for the time stepping. The computational tool is assessed and first simulation results are compared and discussed in order to validate the proposed approach.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-08-29 | Numerical Algorithms |