An integral multi-domain DPN operator as acceleration tool for the method of characteristics in unstructured meshes - Archive ouverte HAL Access content directly
Journal Articles Nuclear Science and Engineering Year : 2006

## An integral multi-domain DPN operator as acceleration tool for the method of characteristics in unstructured meshes

#### Abstract

The paper presents the recent developments of the acceleration techniques for the Method Of Characteristics (MOC) in the code APOLLO2. The main contribution concerns the introduction of a multidomain DP$_N$ technique where all regions belonging to the same macro-domain are coupled by an integral operator that is strictly equivalent to the MOC. Different macro-domains are coupled via currents that are defined with the DP$_N$ formalism. This new Integral DP$_N$ (IDP$_N$) operator is build by using transmission and escape probabilities factors that respect symmetries/anti-symmetries and complementary properties that are enforced to preserve the physics of the problem and to save computational effort. These factors are computed using the numerical tracking of the MOC operator. The paper presents results on realistic assembly calculations that demonstrate the effectiveness of the ID$_N$ operator as a synthetic acceleration tool.

### Dates and versions

cea-02361013 , version 1 (20-11-2019)

### Identifiers

• HAL Id : cea-02361013 , version 1
• DOI :

### Cite

Simone Santandrea. An integral multi-domain DPN operator as acceleration tool for the method of characteristics in unstructured meshes. Nuclear Science and Engineering, 2006, 155 (2), pp.223-235. ⟨10.13182/NSE155-223⟩. ⟨cea-02361013⟩

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